Motion in a Plane NCERT Based MCQ Questions for NEET

This article contains NCERT based 45 MCQ questions test on Physics chapter "Motion in a Plane". These questions are highly valuable for the NEET exam. You can attempt these questions in the form of an interactive quiz and calculate your score. Read the below quiz rules carefully before you start

General Instructions

• Quiz contains 45 questions of 4 marks each.
• Correct answer (✔) will award you +4 marks and Incorrect answer (✘) will give you -1 mark.
• Total test is of 180 marks.
• Tap on box in order to select any option that you think is correct.
• Press the Submit button given in the end of quiz to calculate your score.
• There is a PDF file attached in the end of quiz. You can see detailed solutions to all questions and do self analysis from that file as well. 

Question 1. A particle of mass 0.01 kg is projected with velocity v → = 2îm / s from point (x = 0, y = 20). After 2s, its position coordinates will be –

(1) 4, 0 

(2) 4, – 20

(3) 0, 4 

(4) 4, 20

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Question 2. If maximum height and range of a projectile are same, what is the angle of projection –

(1) 30° 

(2) 76°

(3) 50° 

(4) 90° 

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Question 3. An arrow is shot into air. Its range is 200m and its time of flight is 5s. If g = 10 m/s², then the horizontal component of velocity of the arrow is –

(1) 12.5 m/s 

(2) 25 m/s

(3) 31.25 m/s 

(4) 40 m/s

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Question 4. Two stones are projected with the same speed but making different angles with the horizontal. Their horizontal ranges are equal. The angle of projection of one is π/3 and the maximum height reached by it is 102 m. Then the maximum height reached by the other in metres is –

(1) 336 

(2) 224

(3) 56 

(4) 34

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Question 5. The height y and the distance x along the horizontal plane of a projectile on a certain

planet (with no surrounding atmosphere) are given by y = (8t – 5y²) metre and x = 6t metre where t is in seconds. Velocity of projection is

(1) 8m/s

(2) 6 m/s

(3) 10 m/s

(4) not obtained from the data

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Question 6. A cricket ball is hit at 30º with the horizontal with kinetic energy K. The kinetic energy at

the highest point is-

(1) 0 

(2) K/4

(3) K/2 

(4) 3K/4

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Question 7. Two projectiles are fired from the same point with the same speed at angles of projection

60° and 30° respectively. Which one of the following is true

(1) Their maximum height will be same

(2) Their range will be same

(3) Their landing velocity will be same

(4) Their time of flight will be same

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Question 8. From a 10m high building a stone A is dropped and simultaneously another identical stone B is thrown horizontally with an initial speed of 5 m/s. Which one of the following statements is true –

(1) It is not possible to calculate which one of the two stones will reach the ground first

(2) Both the stone (A and B) will reach the ground simultaneously

(3) A stone reaches the ground earlier with B

(4) B stone reaches the ground earlier with A

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Question 9. During a race the dirt bike was observed to leap up off the small hill at A at an angle of 60° with the horizontal. If the point of landing is 20m away, determine the approximate speed at which the bike was traveling just before it left the ground. Neglect the size of the bike for the calculation.

(1) 5.2 m/s 

(2) 10.2 m/s

(3) 15.2 m/s 

(4) 25.2 m/s

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Question 10. A stone is thrown from the top of a tower which is 11m high and stands on horizontal

ground. The speed of projection is 12 m/s and the initial direction of motion is at 60° to the downward vertical. Find the time taken for the stone to reach the ground. [Take g as 10 m/s²]

(1) 1 sec 

(2) 2.2 sec

(3) 3 sec 

(4) 3.4 sec

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Question 11. A particle is projected from a point which is 2 m above ground level with a velocity of 40 m/s at an angle of 45° to the horizontal. Find its horizontal distance from the point of projection when it hits the ground.

(1) 120 m 

(2) 165 m

(3) 250 m 

(4) 160 m

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Question 12. Statement 1 : In a plane projectile motion, the angle between instantaneous velocity vector and acceleration vector can be anything between 0 and π (excluding the limiting case).

Statement 2 : In plane to plane projectile motion, acceleration vector is always pointing vertical downward. (Neglect air friction)

Direction :

(1) Statement-1 is True, Statement-2 is True,

Statement-2 is a correct explanation for

Statement -1

(2) Statement -1 is True, Statement -2 is True

; Statement-2 is NOT a correct

explanation for Statement - 1

(3) Statement - 1 is True, Statement- 2 is

False

(4) Statement -1 is False, Statement -2 is

True

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Question 13. Statement 1 : The time of flight of a body becomes n times of original value, if its speed is made n times.

Statement 2 : This is due to the range of the projectile which becomes n times.

(1) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1

(2) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1

(3) Statement-1 is True, Statement-2 is False

(4) Statement-1 is False, Statement-2 is True

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Question 14. A jogger runs with constant velocity v through a forest of coconut trees. A coconut

starts to fall from a height h when the jogger is directly below it. How far behind the jogger will the coconut land ?

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Question 15. A ball is rolled off along the edge of horizontal table with velocity 4 m/s. It hits the ground after time 0.4s. Which one of the following is wrong –

(1) The height of the table is 0.8m.

(2) It hits the ground at an angle of 60° with the vertical.

(3) It covers a horizontal distance 1.6 m from the table.

(4) It hits the ground with vertical component of velocity being 4 m/s.

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Question 16. A cannon on a level plane is aimed at an angle θ above the horizontal and a shell is fired with a muzzle velocity v₀ towards a vertical cliff a distance D away. Then the height from the bottom at which the shell strikes the side walls of the cliff is-

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Question 17. A particle is projectile angle θ with the horizontal with the speed u. Find the velocity perpendicular to initial velocity.

(1) u cot θ 

(2) u cos θ

(3) u tan θ 

(4) u sin θ

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Question 18. If time taken by the projectile to reach Q is T, then PQ =

(1) Tv sin θ 

(2) Tv cos θ

(3) Tv sec θ 

(4) Tv tan θ

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Question 19. A ball is thrown from the top of a tower with an initial velocity of 10 m/s at an angle of 30º above the horizontal. It hits the ground at a distance of 17.3 m from the base of the tower. The height of the tower (g = 10 m/s²) will be

(1) 10 m 

(2) 12 m

(3) 110 m 

(4) 100 m

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Question 20. A ball is thrown up at an angle θ with the horizontal. Then the total change of momentum by the instant it returns to ground is–

(1) acceleration due to gravity × total time of flight

(2) weight of the ball × half the time of flight

(3) weight of the ball × total time of flight

(4) weight of the ball × horizontal range

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Question 21. A gun has a muzzle velocity of 200 m/s (i.e. a shell leaves the gun with an initial speed of

200 m/s). Find the horizontal range of the gun when the angle of projection is 30°.

(1) 3460m 

(2) 3260m

(3) 4000m 

(4) 3000m

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Question 22. A ball is projected horizontally with a speed v

from the top of a plane inclined at an angle

45° with the horizontal. How far from the

point of projection with the ball strike the

plane–

(1) v²/g

(2) √2 v²/g

(3) 2 v²/g

(4) √2 (2 v²/g)

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Question 23. A stone is projected from the ground with velocity 25 m/s. Two seconds later, it just clears a wall 5m high. The angle of projection of the stone is (g = 10 m/sec2)

(1) 30º 

(2) 45º

(3) 50.2º 

(4) 60º

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Question 24. A stone is projected from the ground with velocity 50 m/s at an angle of 30º. It crosses a wall after 3sec. How far beyond the wall the stone will strike the ground (g = 10 m/sec2)

(1) 90.2 m 

(2) 89.6 m

(3) 86.6 m 

(4) 70.2 m

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Question 25. A projectile is fired with a velocity u making an angle θ with the horizontal. What is the magnitude of change in velocity when it is at the highest point

(1) u cos θ 

(2) u

(3) u sin θ 

(4) u cos θ – u

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Question 26. An aeroplane moving horizontally at a speed of 200 m/s and at a height of 8.0 × 10³ m is to drop a bomb on a target. At what horizontal distance from the target should the bomb be released-

(1) 7.234 km 

(2) 8.081 km

(3) 8.714 km 

(4) 9.124 km

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Question 27. A football player kicks a ball at an angle of 30º with the horizontal with a velocity of 60 m/s. The maximum height reached by the ball is -

(1) 31 m 

(2) 45 m

(3) 2.25 m 

(4) 0.225 m

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Question 28. A particle is projected at angle 37° with the incline plane in upward direction with speed

10 m/s. The angle of incline plane is given 53°. Then the maximum height attained by the particle from the incline plane will be –

(1) 3m 

(2) 4m

(3) 5m 

(4) zero

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Question 29. A projectile has the same range R for two angles of projection. If t₁ and t₂ are the times of flight in the two cases, then:

(1) t₁t₂ ∝ R 

(2) t₁t₂ ∝ R²

(3) t₁t₂ ∝ 1/R 

(4) t₁t₂ ∝ 1/R²

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Question 30. A body is projected with the velocity u1 from the point A as shown in Figure. At the same time another body is projected vertically upwards with the velocity u₂ from the point B. What should be the value of u₁/u₂ for both the bodies to collide. 

(1) 2 / 3 

(2) 1/ 3

(3) 3 / 2 

(4) 1/2

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Question 31. A ball projected with speed 'u' at angle of projection 15º has range R. The other angle of

projection at which the range will not be same with same initial speed 'u' are

(a) 45º 

(b) 35º

(c) 90º 

(d) 75º

(1) a, b & c are correct 

(2) a & b are correct

(3) b & d are correct 

(4) a & c are correct

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Question 32. A man is riding on a horse. He is trying to jump the gap between two symmetrical ramps

of snow separated by a distance W as shown in the figure. He launches off the first ramp with a speed VL. The man and the horse have a total mass m and their size is small as compared to W. The value of initial launch speed VL which will put the horse exactly at the peak of the second ramp is

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Question 33. Velocity of a stone projected, 2 second before it reaches the maximum height, makes angle 53° with the horizontal then the velocity at highest point is –

(1) 20 m/s 

(2) 15 m/s

(3) 25 m/s 

(4) 80/3 m/s

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Question 34. If y = x – 1/x² is equation of trajectory then time of flight is (g is acceleration of objects)

(1) 2g 

(2) 2 / g

(3) g 

(4) 2.7 g

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Question 35 to 37. 

For Q.35-Q.37

A missile is fired for maximum range at your town from a place 100 km away from you. If the missile is first detected at its half way point. (g= 10 m/s²)

Question 35. How much warning time will you have ?

(1) 100s 

(2) 100 √2 s

(3) 200 s 

(4) 100 s / √2

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Question 36. What was the speed of missile when it was detected?

(1) 100 m/s 

(2) 500 m/s

(3) 500 √2 m/s 

(4) 100 √2 m/s

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Question 37. The maximum height of the missile is :-

(1) 2.5 × 10⁴ m 

(2) 5.0 × 10⁴ m

(3) 7.5 × 10⁴ m 

(4) 10⁵ m

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Question 38. Two particles are simultaneously projected in opposite directions horizontally from a given point in space where gravity ‘g’ is uniform. If u₁ and u₂ be their initial speeds then the time ‘t’ after which their velocities are mutually perpendicular is –

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Question 39. The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a ball thrown with a speed of 40 ms^–1 can go without hitting the ceiling of the hall ? [sin^–1 (0.55) = 33.6°]

(1) 150.5 m 

(2) 160 m

(3) 170.4 m 

(4) 145.2 m

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Question 40. A very broad elevator is going up vertically with a constant acceleration of 2 m/s2. At the instant when its velocity is 4 m/s a ball is projected from the floor of the lift with a speed of 4 m/s relative to the floor at an elevation of 30°. The time taken by the ball to return the floor is (g = 10 m/s2)

(1) 1/2 s

(2) 1/3 s

(3) 1/4 s

(4) 1 s

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Question 41. A stone projected at angle 53° attains maximum height 25m during its motion in air. Then its distance from the point of projection where it will fall is –

(1) (400/3) m 

(2) 50 m

(3) 60 m 

(4) 75 m

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Question 42. A body is thrown horizontally with a velocity √(2gh) from the top of a tower of height h. It strikes the level round through the foot of the tower at a distance x from the tower. The value of x is –

(1) h 

(2) h/2

(3) 2h 

(4) 2h/3

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Question 43. If the range of the projectile be R, then the potential energy will be maximum after the projectile has covered (from start) a distance equal to-

(1) R 

(2) R/2

(3) R/4 

(4) R/8

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Question 44. Ratio of the ranges of the bullets fired from a gun at angle θ, 2θ & 4θ is found in the ratio x : 2 : 2, then the value of x will be (Assume same speed of bullets) –

(1) 2 

(2) √3

(3) 1 

(4) None of these

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Question 45. A ball of mass m is thrown vertically upwards. Another ball of mass 2m is thrown at an angle θ with the vertical with some velocity. Both of them stay in air for same period of time. The heights attained by the two balls are in the ratio of-

(1) 2 : 1 

(2) 1 : cos θ

(3) 1 : 1 

(4) cos θ : 1

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Detailed Solutions

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