PYQ Bank
Previous year board exam questions, filtered by subject and year.
State and explain parallax method for measuring large distances.
Derive the kinematic equation v² = u² + 2as using calculus.
Derive an expression for centripetal acceleration.
State the laws of thermodynamics. Explain Carnot engine with a neat diagram.
Explain the mole concept. Calculate the number of moles in 20g of CaCO₃.
Write the electronic configuration of Cu and Cr. Explain the anomaly.
State Hess's law. Calculate enthalpy change for a reaction using bond energies.
Explain the concept of pH. Calculate the pH of 0.001M HCl solution.
If A = {1,2,3}, B = {2,3,4}, find A∪B, A∩B, A-B. Verify n(A∪B) = n(A) + n(B) - n(A∩B).
Find the domain and range of f(x) = √(x²-4).
Find the derivative of x³+2x²-5x+7 from first principles.
How many 4-letter words can be formed using the letters of 'MATHEMATICS'?
State the cell theory. Differentiate between prokaryotic and eukaryotic cells.
Describe the structure of a dicotyledonous leaf.
Explain the mechanism of breathing in humans.
Explain the reflex arc with a neat diagram.
A ball is thrown vertically upwards with velocity 20 m/s. Find maximum height and time of flight.
State and explain Huygens' principle. Use it to prove laws of reflection.
Explain periodic trends in ionization enthalpy across a period and down a group.
Distinguish between electrophiles and nucleophiles with examples.
Prove that sin²θ + cos²θ = 1. Express sin3θ in terms of sinθ.
Describe the stages of mitosis with the help of diagrams.
What are hormones? Explain the feedback mechanism of hormone regulation.
Convert 1 newton into dyne using dimensional analysis.
State Newton's laws of motion. Explain the concept of inertia with an example.
Define SHM. Derive the differential equation of SHM.
State Heisenberg's uncertainty principle. Why is it significant only for subatomic particles?
Explain VSEPR theory. Predict the geometry of NH₃ and H₂O.
What is a redox reaction? Balance the following equation using ion-electron method.
Prove that √3 is irrational.
Find the equation of the line passing through (2,3) and perpendicular to 3x+4y=12.
Explain the structure and function of mitochondria with a labeled diagram.
Explain the mechanism of enzyme action using lock-and-key model.
Describe the structure and function of nephrons.
Define work, energy, and power. State work-energy theorem.
Derive the relationship between Kp and Kc. Give one example each of homogeneous and heterogeneous equilibrium.
Evaluate ∫(3x²+2x-1)dx as a limit of sum.
Draw a labeled diagram of the human heart showing the flow of blood.