Module 1 — NEET Timed Test

Test conditions

Forty questions · 160 marks · 45 minutes · +4 for a correct answer, −1 for a wrong one.

That is 67 seconds a question, and the negative marking changes what you should do with the ones you cannot answer. A question you can narrow to two options is worth attempting; one where all four still look possible is not. Learning where that line falls is most of what a timed paper teaches.

Sit it in one go, timed, before checking anything. This set is harder than the earlier NEET practice — several questions cannot be answered by recognition alone.

Name ______________________    Date ____________    Score ______ / 160

1. The kinetic energy K of a particle depends on its mass m and momentum p as K = p^a/(2m^b). The values of a and b are:

A. 1, 1    B. 2, 1    C. 1, 2    D. 2, 2

2. A position is given by x(t) = A + Bt + Ct², with x in metres and t in seconds. The SI unit of C is:

A. m s    B. m s⁻¹    C. m s⁻²    D. m⁻¹ s⁻²

3. Which pair cannot sensibly be added together in a physical equation, even though the arithmetic would go through?

A. Energy and torque    B. Work and heat    C. Pressure and stress    D. Momentum and impulse

4. The speed of sound is v = √(γP/ρ), where P is a pressure and ρ a density. The quantity P/ρ therefore has dimensions:

A. L T⁻¹    B. L² T⁻²    C. M L⁻¹ T⁻²    D. L² T⁻¹

5. Two vectors have magnitudes 6 m and 8 m. Which cannot be the magnitude of their resultant?

A. 2 m    B. 7 m    C. 14 m    D. 16 m

6. Vector A is 5 units east and vector B is 5 units north. The magnitude and direction of A − B are:

A. 5√2, south-east    B. 5√2, north-east    C. 10, south-east    D. 0, no direction

7. A car travels 30 km east and then 40 km north. The ratio of the total distance to the magnitude of the total displacement is:

A. 7 : 5    B. 5 : 7    C. 1 : 1    D. 12 : 5

8. A vector V has magnitude 10. Which expression is mathematically invalid?

A. V + 5î    B. V · 5î    C. V + 10    D. 2V

9. If A = 0.6î + 0.8ĵ + ck̂ is a unit vector, then c equals:

A. 1.0    B. 0.2    C. 0    D. 0.5

10. The point P = (−3, −3) has polar coordinates (r, θ) with 0 ≤ θ < 2π:

A. (3√2, π/4)    B. (3√2, 3π/4)    C. (3√2, 5π/4)    D. (6, 5π/4)

11. A particle is on a circle of radius R = 4 m, at θ = 150° from the +x axis. Its position vector in components is:

A. −2√3 î + 2ĵ    B. 2î − 2√3 ĵ    C. −2î + 2√3 ĵ    D. 2√3 î + 2ĵ

12. An object moves along the line y = 5 m, parallel to the x-axis. Which quantity stays constant?

A. The radial distance r    B. The polar angle θ    C. The Cartesian y    D. Both r and θ

13. A force of 10 N acts at 60° to the horizontal. Its horizontal and vertical components are:

A. 5 N, 5√3 N    B. 5√3 N, 5 N    C. 10 N, 10√3 N    D. 5 N, 5 N

14. Forces of 8 N and 6 N act at 90° to each other. The magnitude of the resultant is:

A. 14 N    B. 2 N    C. 10 N    D. 48 N

15. Two vectors each of magnitude F have a resultant of magnitude F. The angle between them is:

A. 45°    B. 60°    C. 90°    D. 120°

16. Forces F₁ = 4î − 2ĵ and F₂ = −3î + 5ĵ, together with F₃, hold a particle in equilibrium. F₃ is:

A. −î − 3ĵ    B. î + 3ĵ    C. 7î − 3ĵ    D. −î + 3ĵ

17. A vector A makes 30° with the +x axis and has A_x = 6√3 units. Its magnitude is:

A. 6    B. 12    C. 18    D. 12√3

18. A force of 5 N acts over a displacement of 5 m and does 15 J of work. The angle between them is closest to:

A. 30°    B. 37°    C. 53°    D. 60°

19. The vectors A = 2î + 3ĵ and B = −6î + aĵ are perpendicular. The value of a is:

A. 4    B. −4    C. 9    D. −9

20. Two vectors have magnitudes A = 6 and B = 10. Which cannot be their dot product?

A. 0    B. −45    C. 50    D. 65

21. The scalar projection of A = 3î + 4ĵ onto B = î + ĵ is:

A. 7/√2    B. 7    C. 1/√2    D. 5

22. A force F = 5ĵ N acts at the position r = 2î m. The torque r × F about the origin is:

A. 10k̂ N m    B. −10k̂ N m    C. 10î N m    D. 0

23. If |A × B| = √3 (A · B), the angle between A and B is:

A. 30°    B. 45°    C. 60°    D. 90°

24. If A and B are parallel, then |A × B| is:

A. AB    B. 1    C. 0    D. −AB

25. Vector A lies in the xy-plane and vector B points along +z. The vector A × B:

A. Points along +z    B. Lies in the xy-plane, perpendicular to A    C. Points along A    D. Is zero

26. A position–time graph is a straight line from (0, 0) to (5 s, 10 m). The velocity is:

A. +2 m/s    B. −2 m/s    C. +50 m/s    D. 0 m/s

27. A velocity–time graph is horizontal at v = +5 m/s. The object is:

A. At rest    B. Accelerating at 5 m/s²    C. Moving with uniform velocity    D. Slowing down

28. Which speed–time graph is physically impossible?

A. One with positive slope    B. A horizontal line    C. One that doubles back to an earlier time    D. A curve with decreasing slope

29. The area under an acceleration–time graph represents:

A. Displacement    B. Change in velocity    C. Final position    D. Average speed

30. A velocity–time graph is the trapezium with corners (0, 0), (2, 10), (4, 10) and (6, 0), with time in seconds and velocity in m/s. The net displacement is:

A. 60 m    B. 40 m    C. 30 m    D. 20 m

31. A potential energy curve U(x) has a local minimum at x₀, and a particle rests there. The particle is in:

A. Unstable equilibrium    B. Neutral equilibrium    C. Stable equilibrium    D. No equilibrium

32. A displacement is x = αt² − βt³. The velocity becomes zero at a time:

A. α/(3β)    B. 2α/(3β)    C. α/β    D. 2α/β

33. A particle has x(t) = 3t² − 12t + 5 metres. It is instantaneously at rest at:

A. 1 s    B. 2 s    C. 3 s    D. 4 s

34. If a displacement is proportional to t², the acceleration is:

A. Zero    B. Constant    C. Linear in t    D. Decreasing

35. A particle has v(t) = 4t m/s. Its displacement between t = 1 s and t = 3 s is:

A. 8 m    B. 12 m    C. 16 m    D. 32 m

36. Gravity at height h is g′ = g(1 + h/R)⁻². For h « R, the binomial expansion gives:

A. g(1 − h/R)    B. g(1 − 2h/R)    C. g(1 + 2h/R)    D. g(1 − h²/R²)

37. If |A + B| = |A − B|, the angle between A and B is:

A. 0°    B. 45°    C. 90°    D. 180°

38. A particle has r = 3tî + 2t²ĵ metres. Its speed at t = 1 s is:

A. 3 m/s    B. 4 m/s    C. 5 m/s    D. 7 m/s

39. A particle travels half a revolution around a circle of radius R = 7 m. Its displacement magnitude and distance travelled are:

A. 14 m, 22 m    B. 22 m, 14 m    C. 0 m, 22 m    D. 14 m, 44 m

40. Which statement is always true for any two non-zero vectors A and B?

A. A · B ≤ AB    B. A × B = B × A    C. |A + B| = A + B    D. A · B = 0 implies A = 0 or B = 0

After the test

Score yourself honestly, including the negative marks. Then look at the questions you got wrong and sort them into two piles: ones where you did not know the physics, and ones where you knew it and ran out of time or misread. Those two piles need entirely different remedies, and confusing them is why practice sometimes fails to improve a score.

Note also which questions you left blank. With −1 for a wrong answer and +4 for a right one, guessing between two options is worth it and guessing between four is not. If you left blank a question where you had eliminated two options, you gave away marks by being too cautious.

Covers: Foundations 1–11  ·  Type: Timed test, 40 MCQs, no answers  ·  Pattern: NEET, +4 / −1