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### 1. What is the primary role of an enzyme in a biochemical reaction? a) Increase the activation energy b) Decrease the activation energy c) Change the equilibrium constant d) Act as a substrate Answer: b) Decrease the activation energy --- ### 2. The Michaelis-Menten constant (Km) represents: a) The maximum rate of the reaction b) The substrate concentration at half of Vmax c) The enzyme concentration at half of Vmax d) The turnover number of the enzyme Answer: b) The substrate concentration at half of Vmax --- ### 3. Which of the following is true for a competitive inhibitor? a) It binds to the active site of the enzyme b) It binds to an allosteric site of the enzyme c) It increases the Vmax of the reaction d) It decreases the Km of the reaction Answer: a) It binds to the active site of the enzyme --- ### 4. In Lineweaver-Burk plot, the y-intercept represents: a) 1/Vmax b) -1/Km c) Km/Vmax d) Vmax/Km Answer: a) 1/Vmax --- ### 5. Which type of inhibition does not alter the Vmax of an enzyme-catalyzed reaction? a) Competitive inhibition b) Non-competitive inhibition c) Uncompetitive inhibition d) Mixed inhibition Answer: a) Competitive inhibition --- ### 6. The turnover number (kcat) of an enzyme is defined as: a) The number of substrate molecules converted to product per unit time b) The number of enzyme molecules required to catalyze a reaction c) The rate constant for the formation of the enzyme-substrate complex d) The dissociation constant for the enzyme-substrate complex Answer: a) The number of substrate molecules converted to product per unit time --- ### 7. Which of the following is true for uncompetitive inhibition? a) The inhibitor binds only to the enzyme-substrate complex b) The inhibitor binds only to the free enzyme c) The inhibitor binds to both the free enzyme and the enzyme-substrate complex d) The inhibitor increases the Km of the reaction Answer: a) The inhibitor binds only to the enzyme-substrate complex --- ### 8. The initial rate of an enzyme-catalyzed reaction is determined by: a) The total amount of product formed b) The time taken to reach equilibrium c) The rate of reaction at the start, when substrate concentration is highest d) The rate of reaction when all enzymes are saturated Answer: c) The rate of reaction at the start, when substrate concentration is highest --- ### 9. Which of the following factors does NOT affect enzyme activity? a) Temperature b) pH c) Substrate concentration d) Enzyme's molecular weight Answer: d) Enzyme's molecular weight --- ### 10. In non-competitive inhibition, the inhibitor: a) Binds to the active site of the enzyme b) Binds to an allosteric site, changing the enzyme's conformation c) Increases the Km of the reaction d) Decreases the Vmax without affecting Km Answer: b) Binds to an allosteric site, changing the enzyme's conformation

✅Important Scientific Laws and Theories in physics ✍️ 🔹 #Ohms_Law - It states that the current passing through a conductor between two points is directly proportional to the potential difference across the two points provided the physical state and temperature etc. of the conductor does not change. 🔹 #Pauli_exclusion_principle - It explains that no two electrons in the same atom or molecule can have the same set of quantum numbers. 🔹 #Raman_effect - It is the change in wavelength that occurs when light is scattered by the atoms or molecules in a transparent medium. 🔹 #Tyndall_effect - The scattering of light by very small particles suspended in a gas or liquid. 🔹 #Boyless_Law - It states that temperature remaining constant, volume of a given mass of a gas varies inversely with the pressure of the gas. Thus, PV = K (constant), where, P = Pressure and V = Volume. 🔹 #Charless_Law - It states that pressure remaining constant, the volume of a given mass of gas increases or decreases by 1/273 part of its volume at 0 degree celsius for each degree celsius rise or fall of its temperature. 🔹 #Coulombs_Law - It states that force of attraction or repulsion between two charges is proportional to the amount of charge on both charges and inversely proportional to the square of the distance between them . 🔹 #Heisenberg_principle (uncertainty principle ) - It is impossible to determine with accuracy both the position and the momentum of a particle such as electron simultaneou sly. 🔹 #Archimedes_princi ple - It states that a body when wholly or partially immersed in a liquid, experiences an upward thrust which is equal to the weight of the liquid displaced by it. Thus, the body appears to lose a part of its weight. This loss in weight is equal to the weight of the liquid displaced by th e body. 🔹 #Aufbau_prin ciple - It states that in an unexcited atom, electrons reside in the lowest energy orbitals available to them. 🔹 #Avogad ros_Law - It states that equal volumes of all gases under similar conditions of temperature and pressure contain equal number of molecules. 🔹 #Browni an_motion - It is a zigzag, irregular motion exhibited by small solid particles when suspended in a liquid or gas due to irregular bombardment by the liquid or ga s molecules. 🔹 #Bernoulli s_principle - It states that as the speed of a moving fluid, liquid or gas, increases, the pressure within the fluid decreases. The aerodynamic lift on the wing of an aeroplane is also explained in part by th is principle. 🔹 #Gay_Lussacs_Law_of comb ining volumes - Gases react together in volumes which bear simple whole number ratios to one another and also to the volumes of the products, if gaseous — all the volumes being measured under similar conditions of temperatu re and pressure. 👨🏿‍⚕#Graham s _Law_of_Diffusion - It states that the rates of diffusion of gases are inversely proportional to the square roots of their densities under similar conditions of temper at ure and pressu re. 🔹 #Keplers_Law - Each planet revolves around the Sun in an elliptical orbit with the Sun at one focus . The straight line joining the Sun and the planet sweeps out equal areas in equal intervals. The squares of the orbital periods of planets are proportional to the cubes of their mea n di stance from the Sun. 🔹 #Law_of_Floatation - For a body to float, the following conditions must be fulfilled: The weight of the body should be equal to the weight of the water displaced and the centre of gravity of the body and that of the liquid displaced should b e in t he same straight line. 🔹 #La w_of_co nservation_of_energy  - It states that energy can neither be created nor destroyed but it can be transformed from one form to another. Since energy cannot be created or destroyed, the amount of energy present in the un iverse i s always remain constant.

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The relationship between climate and health in Africa is complex and multifaceted, with significant implications for public health, economic stability, and overall well-being. Here are some key points that highlight this relationship: ▎1. Vulnerability to Climate Change • Geographical Diversity: Africa's diverse climates range from arid deserts to tropical rainforests, making different regions susceptible to various climate-related impacts. • Socioeconomic Factors: Many African countries face high levels of poverty, limited access to healthcare, and inadequate infrastructure, increasing vulnerability to climate impacts. ▎2. Impact on Diseases • Vector-Borne Diseases: Changes in temperature and precipitation can expand the habitats of vectors like mosquitoes and ticks, leading to the spread of diseases such as malaria, dengue fever, and Rift Valley fever. • Waterborne Diseases: Climate change can lead to flooding and droughts, affecting water quality and availability. This increases the risk of diseases like cholera and diarrhea, particularly in areas with poor sanitation. • Nutritional Deficiencies: Disruptions in agriculture due to changing climate patterns can lead to food insecurity, malnutrition, and related health issues. ▎3. Extreme Weather Events • Heatwaves: Rising temperatures can cause heat stress and exacerbate pre-existing health conditions, particularly among vulnerable populations such as the elderly and those with chronic illnesses. • Floods and Droughts: Extreme weather events can lead to displacement, loss of livelihoods, and increased mental health issues due to stress and trauma. ▎4. Water Resources • Access to Clean Water: Climate change can affect the availability and quality of freshwater resources. Water scarcity can lead to hygiene-related health issues and increased competition for water resources, potentially leading to conflict. ▎5. Food Security • Agricultural Impact: Dependence on rain-fed agriculture makes many communities vulnerable to climate variability. Crop failures can lead to food shortages, malnutrition, and increased mortality rates. ▎6. Urbanization and Health Infrastructure • Rapid Urbanization: Many African cities are growing rapidly, often without adequate infrastructure. Climate change can exacerbate urban health challenges through increased pollution, heat islands, and inadequate waste management. • Healthcare Access: Climate-related disruptions can strain healthcare systems that are already under-resourced, making it difficult to respond effectively to health crises. ▎7. Mental Health • The psychological impacts of climate change—such as anxiety over food security, loss of homes due to extreme weather, and stress from displacement—can lead to increased mental health disorders. ▎8. Adaptation Strategies • Community Resilience: Building resilience through education, sustainable practices, and community engagement is essential for mitigating health risks associated with climate change. • Policy Integration: Integrating climate change considerations into public health policies and planning can help address the interconnected challenges of climate impacts on health. ▎Conclusion Addressing the intersection of climate and health in Africa requires a multidisciplinary approach that includes public health initiatives, climate adaptation strategies, investment in infrastructure, and community engagement. Collaborative efforts at local, national, and international levels are crucial for building resilience and ensuring better health outcomes in the face of climate change.

✍️Notes on Environmental Chemistry: 🔹Components of Environment: ➖Atmosphere: This comprises a blanket of gaseous layer around earth. ➖Hydrosphere: This comprises about 96% of earth’s surface & includes all sources of water like oceans rivers lakes, glaciers, ground water etc. ➖Lithosphere: It refers to earth’s solid crust containing the outer mineral cover. It comprises soil, minerals, organic matter etc. ➖ Biosphere: It refers to the domain of living organism in covalent with atmosphere hydrosphere as well as lithosphere.  🔹Environmental Pollution : Process of contamination of the environment with harmful wastes arising mainly from human activities. ➖Pollutant:  Any substance or species produced either by a natural source or by human activity, which produces adverse effect on the environment. ➖Contaminant: A substance which does not occurs in nature but is introduced by human activity into the atmosphere affecting its composition. ➖Source: The site from which the pollution or contaminants originate. ➖Sink: The material or medium which consumes or interacts with a long lived pollutant is called sink. ➖Receptor : Anything that is affected by the pollutants. ➖Threshold limit value (TLV) : This indicates the permissible limit of a pollutant in atmosphere to which a healthy worker is exposed during hours a day or 40 hours a week for life time without any adverse effects. TLV are determined by experimentation on animals, by use of medical knowledge, epidemiology surveys & environmental studies.  🔹Tropospheric pollution or Air pollution: It is the atmosphere condition in which the presence of certain concentration produce harmful effects on man and his environment. These substances include: (i) Gases such as oxides of sulphur, CO, oxide of N2 and hydrocarbons (ii)  Particulate matter such as dust, smoke, fumes etc. (iii) Radioactive material & many others. ➖Primary pollutants : These are the pollutants which are emitted directly from the sources. Some examples are: ➖Particulate Matter : Such as ash, smoke, dust, fumes etc. ➖Inorganic gases : Such as sulphur dioxide, carbon monoxide etc. 🔹Particulate matter: ➖Soot: produced by incomplete combustion of carbonaceous fossils fuels such as coal, fuel oil, natural gas, wood etc in insufficient supply of oxygen. ➖Metal particles: These are released by various metal finishing operation. The micro particles of toxic metal & SO2 gas present in the polluted atmosphere get absorbed on the particles rendering them highly toxic. ➖Metal oxides : They are generated by combustion of fuels containing metallic compounds. ➖Lead salts: Their source is lead tetraethyl (Pb(C2H5)4) which is added to gasoline to improve its antiknock property. In order to avoid deposition of PbO suitable amounts of C2H4Cl2 & C2H4Br2 are added to gasoline along with Pb(C2H5)4. ➖Fly ash: It originates from the combustion of high ash fossil. It contains partially burnt particles of the fuels. ➖Asbestos dust: It originates from industrial units manufacturing asbestos sheets, gaskets ropes etc. Asbestos flowing & asbestos insulations also contribute towards asbestos dust in the atmosphere. ➖Solid Hydrocarbons: These are emitted from petroleum refineries & comprise of paraffins, olefins & aromatics. ➖Dust Particulates: Originate from natural, domestic, industrial or agricultural sources. These are thrown into atmosphere by volcanic eruptions, blowing of dust by wind, mining operations etc. ➖Acid mist : Sulphuric acid mist is produced when SO3 present in the atmosphere comes in contact with moisture. Nitric acid mist is produced when oxides of nitrogen, viz, NO & NO2, undergo the series of reactions in the atmosphere.

⭐|| some Basic important terms related to rotational motion in physics 🌟 Angular Displacement: The angle through which an object rotates about a specific axis in a given time period, measured in radians. 🌟 Angular Velocity: The rate of change of angular displacement with respect to time, typically measured in radians per second (rad/s). 🌟 Angular Acceleration: The rate of change of angular velocity with respect to time, measured in radians per second squared (rad/s²). 🌟 Torque: A measure of the rotational force applied to an object, which causes it to rotate about an axis. It is calculated as the product of the force and the distance from the pivot point (lever arm) and is measured in Newton-meters (N.m). 🌟 Moment of Inertia: A scalar value that quantifies how difficult it is to change the rotational motion of an object. It depends on the mass distribution relative to the axis of rotation and is measured in kg·m². 🌟 Rotational Kinetic Energy: The energy possessed by an object due to its rotation, calculated as  ½ I ω² , where  I  is the moment of inertia and  ω  is the angular velocity. 🌟 Centripetal Force: The net force required to keep an object moving in a circular path, directed toward the center of the circle. It can be calculated using  Fc = mv²/r , where  m  is mass,  v  is linear velocity, and  r  is the radius of the circular path. 🌟 Rotational Dynamics: The study of the effects of forces and torques on the motion of rotating objects. 🌟 Angular Momentum: A measure of the quantity of rotation of an object, defined as  L = I ω , where  I  is the moment of inertia and  ω  is the angular velocity. It is conserved in isolated systems. 🌟 Parallel Axis Theorem: A method for calculating the moment of inertia about an axis parallel to one through the center of mass.

📌 Part 1 common vocabulary  for grade 12 Entrance 1. Abundant - Present in large quantities; plentiful. 2. Adapt - To change or adjust to new conditions or environments. 3. Adept - Highly skilled or proficient at something. 4. Benevolent - Kind and generous; showing goodwill. 5. Candid - Honest and straightforward; open and sincere. 6. Cautious - Careful to avoid potential problems or dangers; wary. 7. Compassion - Sympathy and concern for the suffering of others. 8. Diligent - Showing steady and earnest effort; hardworking. 9. Eloquent - Fluent and persuasive in speaking or writing. 10. Fascinate - To attract and hold the interest of someone intensely. 11. Generous - Willing to give more of something, especially money or time, than is strictly necessary. 12. Gratitude - The quality of being thankful; readiness to show appreciation. 13. Harmonious - Forming a pleasing or consistent whole; balanced. 14. Impartial - Treating all rivals or disputants equally; fair and just. 15. Innovate - To introduce new ideas, methods, or products. 16. Judicious - Having, showing, or done with good judgment or sense. 17. Keen - Having a sharp edge; also means eager or enthusiastic. 18. Luminous - Emitting or reflecting light; bright or shining. 19. Meticulous - Showing great attention to detail; very careful and precise. 20. Nurture - To care for and encourage the growth or development of someone or something. 21. Obvious - Easily perceived or understood; clear, evident. 22. Plausible - Seemingly reasonable or probable; believable. 23. Quaint - Attractively unusual or old-fashioned; charmingly odd. 24. Resilient - Able to recover quickly from difficulties; tough. 25. Skeptical - Not easily convinced; having doubts or reservations. 26. Tangible - Perceptible by touch; clear and definite; real. 27. Uplift - To raise or improve the mood or spirit of someone. 28. Vibrant - Full of energy and life; bright and striking in color. 29. Witty - Showing quick and inventive verbal humor; clever. 30. Zealous - Having or showing great energy and enthusiasm in pursuit of a cause or

🔥 | Biology important terms and there            definition🥰:- 🌟 binary fission:-asexual reproduction in unicellular organisms by division into two daughter cells. 🌟 Multiple fission:-The process of asexual reproduction in which many daughter cells are produced from the parent cell instead of two daughter cells. 🌟 transverse fission:- is a form of asexual reproduction consisting of the spontaneous transverse segmentation of the body. 🌟 class:-any of the taxonomic groups into which a phylum is divided and which contains one or more orders. 🌟 hermaphrodite:- an individual animal or flower that has both male and female reproductive organs. 🌟 embryo:-an animal in the early stages of development following cleavage of the zygote and ending at birth or hatching. 🌟 clone:-a group of organisms or cells of the same genetic constitution that are descended from a common ancestor by asexual reproduction, as by cuttings, grafting, etc, in plants. 🌟 fermentation:-a chemical reaction in which a ferment causes an organic molecule to split into simpler substances, example ,the anaerobic conversion of sugar to ethyl alcohol by yeast. 🌟 gamete:-a haploid germ cell, such as spermatozoon or ovum, that fuses with another germ cell during fertilization

History German unification and the American Civil War ➜ Both German unification and the American Civil War were pivotal events in the 19th century that reshaped national identities and political landscapes, albeit in very different contexts. ▎German Unification (1871) Background: Prior to unification, the region that is now Germany was a collection of independent states within the German Confederation. The desire for a unified German nation was fueled by nationalist sentiments and a common language and culture. Key Figures: • Otto von Bismarck: The Prussian Prime Minister, Bismarck was the architect of unification. He utilized a policy known as "Realpolitik," which emphasized pragmatic and strategic decisions over ideological considerations.   Major Events: 1. Wars of Unification:    • Danish War (1864): Prussia and Austria defeated Denmark, gaining control of Schleswig and Holstein.    • Austro-Prussian War (1866): Bismarck orchestrated a conflict that led to the exclusion of Austria from German affairs and strengthened Prussia's dominance.    • Franco-Prussian War (1870-1871): Bismarck provoked France into declaring war on Prussia, rallying the German states around Prussia against a common enemy. The victory further solidified German nationalism. Outcome: In 1871, the German Empire was proclaimed at the Palace of Versailles, with King Wilhelm I of Prussia becoming the Emperor. This unification marked the emergence of Germany as a major European power, significantly altering the balance of power on the continent. ▎American Civil War (1861-1865) Background: The Civil War arose from deep-seated tensions between the Northern states (Union) and Southern states (Confederacy) over issues like slavery, states' rights, and economic differences. Key Figures: • Abraham Lincoln: The President of the United States during the war, he aimed to preserve the Union and later issued the Emancipation Proclamation to free enslaved people in Confederate-held territory.   Major Events: 1. Secession: Following Lincoln's election in 1860, several Southern states seceded from the Union, forming the Confederate States of America. 2. Key Battles: Significant battles included Gettysburg, Antietam, and Vicksburg, which shaped the course of the war. 3. Emancipation Proclamation (1863): This executive order declared freedom for all enslaved people in Confederate-held territory, reframing the war as a fight against slavery. Outcome: The war concluded with the defeat of the Confederacy in 1865. It resulted in the preservation of the Union and led to significant social and political changes, including the abolition of slavery through the 13th Amendment. The war also set the stage for Reconstruction, a complex period aimed at integrating formerly enslaved people into society. ▎Comparison • National Identity: Both events were driven by nationalistic fervor—Germany sought unity while America grappled with its identity regarding slavery and federalism. • Conflict as Catalyst: Both involved significant conflict—wars that acted as catalysts for change. In Germany, wars led to unification; in America, they led to the preservation of the Union and eventual civil rights advancements. • Legacy: Each event had lasting impacts on their respective nations—Germany emerged as a powerful state in Europe, while the Civil War laid the groundwork for civil rights movements in the U.S. In essence, while both events were rooted in struggles for identity and governance, they unfolded in distinct ways and with differing implications for their nations' futures.

Tenses are grammatical forms that indicate the time of an action or state of being. In English, tenses are typically categorized into three main time frames: past, present, and future. Each of these can be further divided into simple, continuous (progressive), perfect, and perfect continuous forms. Here’s a brief overview: ▎Present Tenses 1. Simple Present:    • Usage: General truths, habits, or routines.    • Example: She reads every day. 2. Present Continuous (Progressive):    • Usage: Actions happening now or around the current time.    • Example: She is reading right now. 3. Present Perfect:    • Usage: Actions that occurred at an unspecified time before now; they have relevance to the present.    • Example: She has read that book. 4. Present Perfect Continuous:    • Usage: Actions that began in the past and continue to the present or were recently completed with a focus on duration.    • Example: She has been reading for two hours. ▎Past Tenses 1. Simple Past:    • Usage: Actions that were completed at a specific time in the past.    • Example: She read that book yesterday. 2. Past Continuous (Progressive):    • Usage: Actions that were ongoing at a specific time in the past.    • Example: She was reading when I called her. 3. Past Perfect:    • Usage: Actions that were completed before another action in the past.    • Example: She had read the book before the meeting. 4. Past Perfect Continuous:    • Usage: Actions that were ongoing in the past up until another point in the past.    • Example: She had been reading for two hours when I called. ▎Future Tenses 1. Simple Future:    • Usage: Actions that will happen at a specific time in the future.    • Example: She will read that book tomorrow. 2. Future Continuous (Progressive):    • Usage: Actions that will be ongoing at a specific time in the future.    • Example: She will be reading at 8 PM. 3. Future Perfect:    • Usage: Actions that will be completed before a specific time in the future.    • Example: She will have read the book by tomorrow. 4. Future Perfect Continuous:    • Usage: Actions that will be ongoing up until a specific point in the future, with a focus on duration.    • Example: She will have been reading for two hours by the time you arrive. ▎Summary Understanding tenses helps convey when actions occur and their relationships to one another.

20 fundamental physics terms along with their definitions: 1. Force: An interaction that causes an object to change its velocity, measured in newtons (N). 2. Mass: A measure of the amount of matter in an object, typically measured in kilograms (kg). 3. Acceleration: The rate of change of velocity of an object with respect to time, measured in meters per second squared (m/s²). 4. Velocity: The speed of an object in a specific direction, expressed in meters per second (m/s). 5. Energy: The capacity to do work, which can exist in various forms such as kinetic, potential, thermal, etc., measured in joules (J). 6. Work: The process of energy transfer that occurs when a force is applied to an object over a distance, calculated as the product of force and displacement. 7. Power: The rate at which work is done or energy is transferred, measured in watts (W). 8. Kinetic Energy: The energy possessed by an object due to its motion, calculated as  KE = ½mv² . 9. Potential Energy: The energy stored in an object due to its position or configuration, commonly gravitational potential energy given by  PE = mgh . 10. Momentum: The product of an object's mass and its velocity, representing the quantity of motion it possesses, calculated as  p = mv . 11. Newton's First Law: An object at rest stays at rest, and an object in motion stays in motion with the same speed and direction unless acted upon by a net external force. 12. Newton's Second Law: The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass, expressed as  F = ma . 13. Newton's Third Law: For every action, there is an equal and opposite reaction. 14. Thermodynamics: The branch of physics that deals with heat, work, temperature, and the laws governing energy transfer. 15. Wave: A disturbance that transfers energy through space and matter, characterized by properties such as wavelength, frequency, and amplitude. 16. Frequency: The number of cycles of a wave that occur in a unit of time, measured in hertz (Hz). 17. Refraction: The bending of light or other waves as they pass from one medium to another due to a change in speed. 18. Electromagnetism: The branch of physics that studies the interaction between electric charges and magnetic fields. 19. Quantum Mechanics: The branch of physics that deals with the behavior of matter and light on the atomic and subatomic levels. 20. Relativity: A theory proposed by Albert Einstein that describes the laws of physics in relation to observers in different frames of reference, particularly regarding the effects of gravity and the speed of light.

Phrasal verbs that you should know: 1. Call off = cancel -- 2. Turn down = reject 3. Bring up = mention 4. Come up= arise/ produce 5. Hand over = relinquish / give a chance 6. Take over= take control /responsibility 7. Take up= require 8. Get on= continue / have a good relationship 9. Talk over = discuss / interrupt 10. Use up = exhaust / use completely 11. Look forward to = await 12. Go on = continue 13. Catch up = discuss latest news 14. Fill in = complete 15. Hand in = submit 16. Look up= find/search 17. Look into = check/ investigate 18. Figure out = understand / solve 19. Go over = review 20. Show up = arrive 21. Ring up= call 22. Go back = return to a place 23. Pick out= choose 24. chip in = help 25. Break in on = interrupt 26. Come apart = separate 27. Go ahead = start / proceed 28. Cut in = interrupt 29. Own up= confess 30. Figure out = discover 31. Get back = return 32. Get away = escape 33. Work out= exercise 34. Hang in = stay positive 35. Put down = insult 36. Pass out = faint 37. Leave out = omit/ skip 38. Show off = boast / brag 39. Peter out = finish / come to an end gradually 40. Lay off= dismiss 41. Take on = employ( someone) 42. Cross out = delete / cancel / erase 43. Sort out = solve 44. Make out = understand / hear 45. Abide by = follow ( a rule / decision / instruction) 46. Pile up = accumulate 47. Pig put = eat a lot 48. Pick up = collect 49. mix up = confuse 50. Make of = understand / have an opinion 51. Opt for = choose 52. Pass back = return 53. Patch up = fix/ make things better 54. Plump for = choose 55. Polish off = finish / consume 56. Decide upon = choose / select 57. Die down = decrease 58. Get along = leave 59. Hook up = meet ( someone) 60. Jack up= increase sharply 61. Kick about = discuss 62. Talk about = discuss 63. Kick out = expel 64. Lay on = organise/ supply 65. Link up = connect /join 66. Make after = chase 67. Make away with = steal 68. Big up = exaggerate the importance

Basic  Important terms of Physics ✅ Distance is the actual path that is traveled by a moving body. ✅ Position is the location of an object compared to a reference frame (point) ✅ Displacement is the difference between the initial point and final positions of an object. ✅ Speed it's rate of change of distance. It's a scalar quantity with the SI unit of m/s. ✅ Velocity it's rate of change of displacement. it's a vector quantity with the SI unit of  m/s. ✅ Average Speed it's the ratio of total distance traveled and total time taken. ✅ Average Velocity it's the ratio of of change in displacement and change in time. ✅ Acceleration is the rate of change of velocity. It's a vector quantity, with the SI unit of m/s². ✅ An object is said to accelerate when its velocity changes in magnitude, in direction, or both in magnitude and direction. ✅ Acceleration:The rate at which an object speeds up. ✅Deceleration: The rate at which an object slows down. Note: ✔ If velocity and acceleration have the same sign whether positive or negative it's speeding up. ✔ If the velocity and acceleration have an opposite sign, then the object is slowing down. https://t.me/HADES_STUDENTS

An introduction to vectors   Definition of a vector A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction. The direction of the vector is from its tail to its head.  Two vectors are the same if they have the same magnitude and direction. This means that if we take a vector and translate it to a new position (without rotating it), then the vector we obtain at the end of this process is the same vector we had in the beginning. Two examples of vectors are those that represent force and velocity. Both force and velocity are in a particular direction. The magnitude of the vector would indicate the strength of the force or the speed associated with the velocity. We denote vectors using boldface as in aa or bb. Especially when writing by hand where one cannot easily write in boldface, people will sometimes denote vectors using arrows as in a⃗ a→ or b⃗ b→, or they use other markings. We won't need to use arrows here. We denote the magnitude of the vector aa by ∥a∥∥a∥. When we want to refer to a number and stress that it is not a vector, we can call the number a scalar. We will denote scalars with italics, as in aa or bb.

Here is some notes about motion in 2d 👇 Part 1 ✨ Projectile Motion✨ Projectile motion refers to the motion of an object that is launched into the air and influenced only by gravity and its initial velocity, following a curved trajectory due to the effects of gravitational force. Components of Projectile Motion Projectile motion can be analyzed in two dimensions: horizontal (x-axis) and vertical (y-axis). It is crucial to understand the following components: 1. Initial Velocity (V₀): The velocity at which the projectile is launched, which can be broken down into:   - Horizontal Component (V₀x): V₀x = V₀ ·cos(θ)   - Vertical Component (V₀y): V₀y = V₀ ·sin(θ)   where θ is the angle of projection. 2. Acceleration:   - Horizontal Motion: There is no horizontal acceleration (ignoring air resistance), making it uniform motion.   - Vertical Motion: Acceleration due to gravity (g) acts downward at approximately 9.81  m/s². 3. Time of Flight (T): The total time the projectile is in the air, calculated as:     T = (2 · V₀y)/(g) = (2 · V₀ ·sin(θ))/(g) 4. Range (R): The horizontal distance covered by the projectile, given by:     R = V₀x · T = V₀ ·cos(θ) · T = (V₀^2 ·sin(2θ))/(g) 5. Maximum Height (H): The peak height reached by the projectile:     H = (V₀y^2)/(2g) = ((V₀ ·sin(θ))^2)/(2g) Characteristics of Projectile Motion - Parabolic Trajectory: The path followed by a projectile is a parabola due to the influence of gravity acting on it. - Independence of Motion: Horizontal and vertical motions are independent of each other. While horizontal motion remains uniform, vertical motion experiences constant acceleration. - Angle of Projection: The angle at which the projectile is launched affects its range and maximum height. The optimal angle for maximum range (on level ground) is 45^∘. ♾ Important Equations 1. Horizontal displacement:     x = V₀x · t   2. Vertical displacement:     y = V₀y · t - 1/2 g t^2 3. Total time of flight:     T = (2 · V₀ ·sin(θ))/(g) 💁‍♂ Conclusion Projectile motion is a vital concept in physics that demonstrates how objects move through space under the influence of gravity. Understanding the relationships between the components of projectile motion is essential for solving problems related to trajectory, range, height, and time of flight.

📌 Important terms in Biology for EUEE ➖ #DNA: Deoxyribonucleic acid, a molecule that carries genetic information. ➖ #RNA: Ribonucleic acid, a molecule that plays a key role in protein synthesis. ➖#Protein: A macromolecule made up of amino acids that carries out a variety of functions in the cell. ➖#Enzyme: A type of protein that catalyzes chemical reactions in the cell. ➖ #Cell membrane: The thin, flexible layer that surrounds all cells and regulates the movement of molecules in and out of the cell. ➖#Mitosis: The process by which a single cell divides into two identical daughter cells. ➖ #Meiosis: The process by which cells divide to produce gametes (sperm and eggs), each with half the number of chromosomes as the parent cell. ➖ #Gene: A segment of DNA that codes for a specific protein or trait. ➖ #Allele: One of two or more alternative forms of a gene. ➖ #Mutation: A change in the DNA sequence that can result in altered gene function or the creation of new alleles. ➖ #Natural selection: The process by which individuals with advantageous traits are more likely to survive and reproduce, leading to the evolution of populations over time. ➖ #Adaptation: A trait or characteristic that increases an organism's fitness in its environment. ➖ #Photosynthesis: The process by which green plants convert sunlight into energy in the form of organic compounds. ➖ #Cellular respiration: The process by which cells convert organic compounds into energy in the form of ATP. ➖ #Ecosystem: A community of living and non-living things that interact with each other and their environment.➖ #Homeostasis: The ability of organisms to maintain a stable internal environment in the face of changing external conditions. ➖ #Evolution: The process by which species change over time as a result of genetic variation and natural selection. ➖ #Ecology: The study of the interactions between living organisms and their environment. ➖ #Biotechnology: The use of living organisms or their products to develop new products or processes. ➖ #Epidemiology: The study of the distribution and determinants of health and disease in populations. ➖ #Chromosome: A structure made of DNA and protein that carries genetic information. ➖ #Cytoplasm: The gel-like substance inside a cell that contains organelles and other cell components. ➖ #Organelle: A specialized structure within a cell that performs a specific function. ➖ #Nucleus: The control center of a cell that contains the cell's DNA. ➖ #Ribosome: The site of protein synthesis in a cell. ➖ #Mitochondria: The organelles responsible for producing ATP through cellular respiration. ➖ #Chloroplast: The organelles in plant cells responsible for photosynthesis. ➖ #Cytoskeleton: The network of protein filaments that give a cell its shape and allow for movement. ➖ #Endoplasmic reticulum: A network of membranes in the cytoplasm that is involved in protein and lipid synthesis. ➖ #Golgi apparatus: An organelle that modifies, sorts, and packages proteins for secretion or transport. ➖ #Lysosome: An organelle that contains enzymes for breaking down and recycling cellular waste. ➖ #Vacuole: A membrane-bound organelle that stores materials such as water, nutrients, and waste products. ➖ #ATP: Adenosine triphosphate, the molecule that carries energy within cells. ➖ #Aerobic respiration: The process of producing ATP in the presence of oxygen. ➖ #Anaerobic respiration: The process of producing ATP in the absence of oxygen. FOR MORE JOIN

🏖Biology common Terms for Grade 12 Entrance Examinations 1. Cell: The basic unit of life; the smallest structure capable of performing all life processes. 2. DNA (Deoxyribonucleic Acid): A molecule that carries genetic information in living organisms and is responsible for heredity. 3. Gene: A segment of DNA that contains the instructions for building a specific protein or function. 4. Chromosome: A thread-like structure made of DNA and proteins that contains genetic information; humans typically have 46 chromosomes. 5. Mitosis: A type of cell division that results in two genetically identical daughter cells, used for growth and repair. 6. Meiosis: A specialized form of cell division that reduces the chromosome number by half, producing gametes (sperm and eggs). 7. Protein: A macromolecule made up of amino acids, essential for structure, function, and regulation of the body’s tissues and organs. 8. Enzyme: A protein that acts as a catalyst to speed up chemical reactions in biological processes. 9. Photosynthesis: The process by which green plants and some other organisms convert light energy into chemical energy (glucose) using carbon dioxide and water. 10. Respiration: The biochemical process in which cells convert glucose and oxygen into energy, carbon dioxide, and water. 11. Homeostasis: The maintenance of a stable internal environment within an organism despite external changes. 12. Ecosystem: A community of living organisms interacting with one another and their physical environment. 13. Biodiversity: The variety of life in a particular habitat or ecosystem, including the number of species and genetic diversity. 14. Natural Selection: The process by which organisms better adapted to their environment tend to survive and produce more offspring. 15. Mutation: A change in the DNA sequence that can lead to variations in traits and may affect an organism's ability to survive. 16. Allele: Different forms of a gene that can exist at a specific locus on a chromosome. 17. Phenotype: The observable physical or biochemical characteristics of an organism, determined by its genotype and environment. 18. Genotype: The genetic constitution of an organism, representing the alleles inherited from its parents. 19. Autotroph: An organism that produces its own food from inorganic substances, typically through photosynthesis or chemosynthesis. 20. Heterotroph: An organism that cannot produce its own food and must consume other organisms for energy. 21. Cell Membrane: A phospholipid bilayer that surrounds the cell, controlling the movement of substances in and out. 22. Nucleus: The membrane-bound organelle that contains the cell's genetic material (DNA) and controls cellular activities. 23. Cytoplasm: The gel-like substance within the cell membrane that contains organelles and is the site of many metabolic processes. 24. Organelle: Specialized structures within a cell that perform distinct functions (e.g., mitochondria, ribosomes). 25. Vesicle: A small membrane-bound sac within a cell that transports materials to different locations inside the cell. 26. Antibody: A protein produced by the immune system that recognizes and neutralizes foreign objects like bacteria and viruses. 27. Hormone: A chemical messenger produced by glands in the endocrine system that regulates physiological processes in the body. 28. Symbiosis: A close interaction between two different species, which can be mutualistic, commensalistic, or parasitic. 29. Population: A group of individuals of the same species living in a specific area at the same time. 30. Trophic Level: The position an organism occupies in a food chain, determined by its feeding relationships (e.g., producers, primary consumers).

Mathematics            👑Chapter 1 👑 💋Relations and Functions 💋 ሰላም የተከበራችሁ ውድ የ entrance tricks ተማሪዎች Relations and Functions የሚለውን ሰፊ የሆነ ርዕስ ዛሬ ይዘንላችሁ መጥተናል ።እዮብ ነኝ መልካም ቆይታ 🥎 Definition and examples of relations 🚩A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation. Relation ማለት  ስብስቦች በስርዓት የሚዛመዱበት መንገድ ነው። ምሳሌ Suppose there are two sets X = {4, 36, 49, 50} and Y = {1, -2, -6, -7, 7, 6, 2}. A relation that states that "(x, y) is in the relation R if x is a square of y" can be represented using ordered pairs as R = {(4, -2), (4, 2), (36, -6), (36, 6), (49, -7), (49, 7) 🥎 Definition and examples of functions People also ask What is the formal definition of a function? A function is a relation that uniquely associates members of one set with members of another set. Function ማለት የ relation አይነት ሲሆን የ x value መደገም የለበትም። ምሳሌ (2,4),(3,4),(5,6) is functions (4,2),(3,5),(4,7) is not functions because 4 is repeated. 🥎Classification of functions (one to one, onto, even and odd) and inverse of functions 🚩An injective function (injection) or one-to-one function is a function that maps distinct elements of its domain to distinct elements of its codomain. Formally, it is stated as, if f(x) = f(y) implies x=y, then f is one-to-one mapped, or f is 1-1. አንድ መርፌ 💉 ለአንድ ሰው 🧙‍♂️። አንድ X ለአንድ Y. 🚩Onto function /serjection/is a function f that maps an element x to every element y. That means, for every y, there is an x such that f(x) = y. Y ያለ X መቀመጥ የለበትም ። 🚩if f(x) produces y, then putting y into the inverse of f produces the output x. x . A function f that has an inverse is called invertible and the inverse is denoted by f−1. 🚩A function f is even if the following equation holds for all x and −x in the domain of f : f(x)=f(−x) Geometrically, the graph of an even function is symmetric with respect to the y -axis, meaning that its graph remains unchanged after reflection about the y -axis. 🚩A function f is odd if the following equation holds for all x and −x in the domain of f : −f(x)=f(−x) Geometrically, the graph of an odd function has rotational symmetry with respect to the origin, meaning that its graph remains unchanged after a rotation of 180∘ about the origin. 🥎Operations on functions and composition of functions 🚩Sum(f + g)(x) = f(x) + g(x) 🚩Difference(f - g)(x) = f(x) - g(x) 🚩Product(f * g)(x) = f(x) * g(x) 🚩Quotient(f / g)(x) = f(x) / g(x) 🚩In the composition of (f o g) (x) the domain of function f becomes g(x). The domain is a set of all values which go into the function. Example: If f(x) = 3x+1 and g(x) = 2x , then f of g of x, f(g(x)) = f(x2) = 3(2x)+1. https://t.me/HADES_STUDENTS

Physics grade 10 #types of vector 1.zero vector is a vector that have zero magnitude and zero direction. 2 .unit vector is a vector that a magnitude is equal to one. 3.equal vector is a vector that have same magnitude and same direction. 4.negative vector is a vector that have same magnitude but in opposite direction.