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These are exemplary questions for Math and Physics.
Typology: Exams
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Time: 3 Hours | Maximum Marks: 198
Instructions:
Section 1: Single Correct Answer
Q1. A particle moves with velocity v = (3t^2)i + (2t)j. What is the acceleration at t = 2s? Q2. A capacitor of capacitance C is connected to a battery of emf V. The energy stored is: Q3. Two wires of same material and length but different radii are connected in parallel. The ratio of heat produced in thinner to thicker wire is:
Section 2: Multiple Correct Answers
Q4. A block slides down a rough inclined plane. Which of the following statements are true? Q5. For a system executing SHM: Q6. In Youngs double-slit experiment:
Section 3: Numerical Value
Q7. A 2 F capacitor is charged to 100 V. What is the energy stored (in J)? Q8. A car moves in a circle of radius 10 m with constant speed 5 m/s. What is centripetal acceleration? Q9. Escape velocity from a planet is 10 km/s. Find KE (in MJ) of 2 kg body at that speed.
Section 1: Single Correct Answer
Q10. Number of valence electrons in Fe³: Q11. Correct order of acidic strength is:
Q12. Hybridization of central atom in XeF:
Section 2: Multiple Correct Answers
Q13. For 2CrO² + 2H CrO² + HO: Q14. Correct statements: Q15. Strong electrolytes:
Section 3: Numerical Value
Q16. Moles of O required to burn 4 moles of CH? Q17. Solution contains 0.1 M NaOH. Calculate pH. Q18. First-order reaction has t½ = 10 min. Fraction left after 30 min?
Section 1: Single Correct Answer
Q19. If A = [[1, 2], [3, 4]], then det(A): Q20. General solution of cos x = 1/2: Q21. Die is rolled twice. Probability that sum > 9:
Section 2: Multiple Correct Answers
Q22. f(x) = log(x² + 1). Then: Q23. Roots of x² + x + 1 = 0 are: Q24. Vectors a = i + 2j, b = -i + 3j. Then:
Section 3: Numerical Value
Q25. Derivative of f(x) = x² sin x at x = : Q26. Evaluate ¹ (3x² + 2x) dx Q27. GP with a = 2, r = 3. Find 5th term: