Aktu previous year question paper with answers

Aktu previous year question papers are valuable for students preparing for exams. They help in understanding question patterns, important topics, and time management. Below are detailed questions and answers from various subjects to aid in effective preparation. Each subject includes comprehensive Q&A to support academic success.

Aktu Previous Year Question Paper

Mathematics

Question: What is the derivative of sin(x)?

Answer: The derivative of sin(x) is cos(x).

Question: Solve the equation 2x + 5 = 11.

Answer: x = 3.

Question: What is the integral of 1/x dx?

Answer: The integral of 1/x dx is ln|x| + C.

Question: Find the value of the determinant of a 2×2 matrix [a b; c d].

Answer: The determinant is ad – bc.

Question: Expand (a + b)^2.

Answer: (a + b)^2 = a^2 + 2ab + b^2.

Question: What is the value of sin(90°)?

Answer: The value of sin(90°) is 1.

Question: Solve the quadratic equation x^2 – 5x + 6 = 0.

Answer: x = 2, x = 3.

Question: What is the value of e^0?

Answer: The value of e^0 is 1.

Question: Find the slope of a line passing through points (1, 2) and (3, 6).

Answer: The slope is 2.

Question: Solve for x: log(x) + log(2) = log(8).

Answer: x = 4.

Question: What is the area under y = x^2 from x = 0 to x = 2?

Answer: The area is 8/3.

Question: Define a continuous function.

Answer: A function is continuous if it has no breaks, jumps, or holes in its graph.

Question: What is the value of cos(0°)?

Answer: The value of cos(0°) is 1.

Question: Solve: d^2y/dx^2 = 6x.

Answer: y = x^3 + C1x + C2.

Question: What is the sum of the first n natural numbers?

Answer: The sum is n(n + 1)/2.

Question: Find the limit of (x^2 – 4)/(x – 2) as x approaches 2.

Answer: The limit is 4.

Question: Differentiate y = x^3 + 5x + 1.

Answer: dy/dx = 3x^2 + 5.

Question: Solve: ∫(3x^2)dx.

Answer: The integral is x^3 + C.

Question: What is the Laplace transform of 1?

Answer: The Laplace transform of 1 is 1/s.

Physics

Question: State Newton’s first law of motion.

Answer: An object at rest stays at rest, and an object in motion stays in motion unless acted upon by an external force.

Question: What is the SI unit of force?

Answer: The SI unit of force is the Newton (N).

Question: Define velocity.

Answer: Velocity is the rate of change of displacement with respect to time.

Question: What is the formula for kinetic energy?

Answer: Kinetic energy = (1/2)mv^2.

Question: State Ohm’s Law.

Answer: V = IR, where V is voltage, I is current, and R is resistance.

Question: What is the acceleration due to gravity on Earth?

Answer: The acceleration due to gravity is approximately 9.8 m/s^2.

Question: What is the formula for potential energy?

Answer: Potential energy = mgh.

Question: Define work in physics.

Answer: Work is the product of force and displacement in the direction of the force.

Question: What is the speed of light in a vacuum?

Answer: The speed of light in a vacuum is approximately 3 × 10^8 m/s.

Question: What is Hooke’s Law?

Answer: F = -kx, where F is force, k is the spring constant, and x is displacement.

Question: What is the first law of thermodynamics?

Answer: Energy cannot be created or destroyed, only transformed or transferred.

Question: Define power in physics.

Answer: Power is the rate at which work is done or energy is transferred.

Question: What is the formula for wave speed?

Answer: Wave speed = frequency × wavelength.

Question: Define centripetal force.

Answer: Centripetal force is the force directed towards the center of a circular path that keeps an object moving in a circle.

Question: What is the unit of electric charge?

Answer: The unit of electric charge is the Coulomb (C).

Question: State the principle of conservation of momentum.

Answer: The total momentum of a system remains constant if no external forces act on it.

Question: What is the formula for pressure?

Answer: Pressure = Force/Area.

Question: Define refractive index.

Answer: Refractive index is the ratio of the speed of light in a vacuum to its speed in a medium.

Question: What is the unit of frequency?

Answer: The unit of frequency is the Hertz (Hz).

Chemistry

Question: What is the atomic number of hydrogen?

Answer: The atomic number of hydrogen is 1.

Question: Define molarity.

Answer: Molarity is the number of moles of solute per liter of solution.

Question: What is the formula for water?

Answer: The formula for water is H2O.

Question: Define an acid.

Answer: An acid is a substance that donates hydrogen ions (H+).

Question: What is Avogadro’s number?

Answer: Avogadro’s number is 6.022 × 10^23.

Question: Define oxidation.

Answer: Oxidation is the loss of electrons.

Question: What is the pH of a neutral solution?

Answer: The pH of a neutral solution is 7.

Question: What is the chemical symbol for sodium?

Answer: The chemical symbol for sodium is Na.

Question: Define a covalent bond.

Answer: A covalent bond is a chemical bond formed by the sharing of electrons between atoms.

Question: What is the molecular mass of CO2?

Answer: The molecular mass of CO2 is 44 g/mol.

Question: Define electrolysis.

Answer: Electrolysis is the process of decomposing a compound using an electric current.

Question: What is the chemical formula for methane?

Answer: The chemical formula for methane is CH4.

Question: Define a catalyst.

Answer: A catalyst is a substance that speeds up a chemical reaction without being consumed.

Question: What is the boiling point of water?

Answer: The boiling point of water is 100°C.

Question: Define reduction.

Answer: Reduction is the gain of electrons.

Question: What is the valency of carbon?

Answer: The valency of carbon is 4.

Question: What is the common name for NaCl?

Answer: The common name for NaCl is table salt.

Question: Define a base.

Answer: A base is a substance that accepts hydrogen ions (H+).

Question: What is the chemical formula of ammonia?

Answer: The chemical formula of ammonia is NH3.

Previous year question papers provide insights into exam patterns and important topics. The questions and answers in this guide will help students strengthen their understanding and improve performance in exams. Regular practice ensures confidence and success.