# MCQs For NCERT Class 11 Physics Chapter 4 Motion In A Plane

Please refer to the MCQ Questions for Class 11 Physics Chapter 4 Motion In A Plane with Answers. The following Motion In A Plane Class 11 Physics MCQ Questions have been designed based on the latest syllabus and examination pattern for Class 11. Our experts have designed MCQ Questions for Class 11 Physics with Answers for all chapters in your NCERT Class 11 Physics book.

## Motion In A Plane Class 11 MCQ Questions with Answers

See below Motion In A Plane Class 11 Physics MCQ Questions, solve the questions and compare your answers with the solutions provided below.

Question. The direction of the angular velocity vector is along
(a) the tangent to the circular path
(d) the axis of rotation

D

Question. If ar and at represent radial and tangential accelerations, the motion of particle will be uniformly circular, if
(a) ar = 0 and at = 0
(b) ar = 0 but at ¹ 0
(c) ar ¹ 0 and at = 0
(d) ar ¹ 0 and at ¹ 0

C

Question. In uniform circular motion
(a) both velocity and acceleration are constant
(b) acceleration and speed are constant but velocity changes
(c) both acceleration and velocity change
(d) both acceleration and speed are constant

C

Question. A body is moving with a constant speed v in a circle of radius r. Its angular acceleration is
(a) vr
(b) v/r
(c) zero
(d) vr2

C

Question. A stone of mass m is tied to a string of length l and rotated in a circle with a constant speed v, if the string is released the stone flies
(c) tangentially outward
(d) with an acceleration mv2/l

C

Question. Choose the correct statement(s) from the following.
I. If speed of a body in a curved path is constant it has zero acceleration
II. When a body moves on a curved path with a constant speed, it has acceleration perpendicular to the direction of motion
(a) I only
(b) II only
(c) I and II
(d) None of these

B

Question. A boat which has a speed of 5 km h–1 in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water is
(a) 1 km h–1
(b) 3 km h–1
(c) 4 km h–1
(d) 41 kmh-1

B

Question. An aircraft executes a horizontal loop of radius 1.00 km with a stedy speed of 900 km/h. The ratio of centripetal acceleration to acceleration due to gravity is [g = 9.8
m/s2]
(a) 6.38
(b) 9.98
(c) 11.33
(d) 12.13

A

Question. A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolution in 44 seconds, what is the magnitude and
direction of acceleration of the stone?
(a) p2 m s–2 and direction along the radius towards the centre.
(b) p2 m s–2 and direction along the radius away from the centre.
(c) p2 m s–2 and direction along the tangent to the circle.
(d) p2/4 m s–2 and direction along the radius towards the centre.

A

Question. A cone filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. What must be the maximum period of revolution?
(a) 2 s
(b) 4 s
(c) 1 s
(d) 6 s

B

Question. Two bodies are moving in concentric orbits of radii 2cm and 4 cm such that their time periods are the same. The ratio of their centripetal accelerations is :
(a) 1/2
(b) 1/8
(c) 3/2
(d) 4/9

A

Question. A particle P is moving in a circle of radius ‘a’ with a uniform speed v. C is the centre of the circle and AB is a diameter. When passing through B the angular velocity of P about A and C are in the ratio:
(a) 1 : 1
(b) 1 : 2
(c) 2 : 1
(d) 4 : 1

B

Question. A particle moves in a circle of radius 30 cm. Its linear speed is given by : V = 2t, where t in second and v in m/s. Find out its radial and tangential acceleration at t = 3 sec respectively.
(a) 220 m/sec2, 50 m/sec2
(b) 110 m/sec2, 5 m/sec2
(c) 120 m/sec2, 2 m/sec2
(d) 110 m/sec2, 10 m/sec2

C

Question. The component of a vector r along X-axis will have maximum value if
(a) r is along positive Y-axis
(b) r is along positive X-axis
(c) r makes an angle of 45° with the X-axis
(d) r is along negative Y-axis

B

Question. The horizontal range of a projectile fired at an angle of 15° is 50 m. If it is fired with the same speed at an angle of 45°, its range will be
(a) 60 m
(b) 71 m
(c) 100 m
(d) 141 m

C

Question. Consider the quantities, pressure, power, energy, impulse,gravitational potential, electrical charge, temperature, area.
Out of these, the only vector quantities are :
(a) impulse, pressure and area
(b) impulse and area
(c) area and gravitational potential
(d) impulse and pressure

B

Question. In a two dimensional motion, instantaneous speed v0 is a positive constant. Then, which of the following are necessarily true?
(a) The average velocity is not zero at any time
(b) Average acceleration must always vanish
(c) Displacements in equal time intervals are equal
(d) Equal path lengths are traversed in equal intervals

D

Question. In a two dimensional motion, instantaneous speed v0 is a positive constant. Then, which of the following are necessarily true?
(a) The acceleration of the particle is zero
(b) The acceleration of the particle is bounded
(c) The acceleration of the particle is necessarily in the plane of motion
(d) The particle must be undergoing a uniform circular motion

C

Question. Two projectiles are fired from the same point with the same speed at angles of projection 60º and 30º respectively.
Which one of the following is true?
(a) Their maximum height will be same
(b) Their range will be same
(c) Their landing velocity will be same
(d) Their time of flight will be same

B

Question. A ship A is moving Westwards with a speed of 10 km h–1 and a ship B 100 km South of A, is moving Northwards with a speed of 10 km h–1. The time after which the distance between them becomes shortest, is :
(a) 5 h
(b) 5√2 h
(c) 10√2 h
(d) 0 h

A

Question. If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is :
(a) 0°
(b) 90°
(c) 45°
(d) 180°

B

Question. A ball is thrown from a point with a speed ‘v0’ at an elevation angle of q. From the same point and at the same instant, a person starts running with a constant speed 0 ‘v0 /2 ‘ to catch the ball. Will the person be able to catch the ball?
If yes, what should be the angle of projection q?
(a) No
(b) Yes, 30°
(c) Yes, 60°
(d) Yes, 45°

C

Question. Rain is falling vertically downwards with a velocity of 3 km/hr. A man walks in the rain with a velocity of 4 km/hr. The rain drop will fall on the man with a velocity of
(a) 5 km/hr
(b) 4 km/hr
(c) 1 km/hr
(d) 3 km/hr

A

Question. A body of mass 5 kg is moving in a circle ofradius 1 m with an angular velocity of 2 rad/sec.
Then the centripetal acceleration (in m/s2) will be
(a) 80 N
(b) 30 N
(c) 10 N
(d) 20 N

D

Question. A body is projected at such angle that the horizontal range is three times the greatest height. The angle of projection is
(a) 42° 8′
(b) 53° 7′
(c) 33° 7′
(d) 25° 8′

B

Question. An aeroplane moves 400 m towards the north,300 m towards west and then 1200 m vertically upwards, then its displacement from the initial position is
(a) 1600 m
(b) 1800 m
(c) 1500 m
(d) 1300 m

D

Question. Two equal vectors have a resultant equal to either of them, then the angle between them will be
(a) 110°
(b) 120°
(c) 60°
(d) 150°

B

Question. A stone tied to the end of a string of 80 cm long, is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25 sec, then magnitude of acceleration of the same will be
(a) 990 cm/sec2
(b) 680 cm/sec2
(c) 750 cm/sec2
(d) 650 cm/sec2

A

8. Two projectiles are projected with the same velocity. If one is projected at an angle of 30° and the other at 60° to the horizontal, the ratio of maximum heights reached, is
(a) 1 : 3
(b) 2 : 1
(c) 3 : 1
(d) 1 : 4

A

Question. The maximum range of a gun horizontal terrain is 10 km. If g = 10 m/s2 what must be the muzzle velocity of the shell
(a) 400 m/s
(b) 200 m/s
(c) 100 m/s
(d) 50 m/s

A

13. A projectile can have the same range R for two angles of projection. If t1 and t2 be the times of flights in the two cases, then the product of the two time of flights is proportional to
(a) 1/R2
(b) R2
(c) R
(d) R

C

Question. A car travels 6 km towards north at an angle of 45° to the east and then travels distance of 4 km towards north at an angle 135° to east. How far is the point from the starting point? What angle does the straight line joining its initial and final position makes with the east?
(a) 50 km and tan-1 (5)
(b) 10 km and tan-1 ( 5)
(c) 52 km and tan-1 (5)
(d) 52 km and tan-1 ( 5)

C

Question. If two forces of equal magnitudes act simultaneously on a body in the east and the north directions then
(a) the body will displace in the north direction
(b) the body will displace in the east direction
(c) the body will displace in the north-east direction
(d) the body will remain at the rest.

C

Question. The acceleration of a body in a non-uniform circular motion is 5 ms–2. Which one of the following is correct?
(a) The radial acceleration and the tangential accelerations are 3 ms–2 and 4 ms–2 respectively.
(b) The radial and the tangential accelerations are 2 ms–2 and 3 ms–2 respectively.
(c) The radial and the tangential accelerations are both 5 ms–2.
(d) The radial and the tangential acceleration
are 5 ms–2 and 3 ms–2 respectively.

A

Question. An aircraft executes a horizontal loop with a speed of 150 m/s with its wings banked at an angle of 12°. The radius of the loop is
(g = 10 m/s2)
(a) 10.6 km
(b) 9.6 km
(c) 7.4 km
(d) 5.8 km

A

20. For ordinary terrestrial experiments, the observer in an inertial frame in the following cases is
(a) a child revolving in a giant wheel
(b) a driver in a sports car moving with a constant high speed of 200 kmh–1 on a straight road
(c) the pilot of an aeroplane which is taking off
(d) a cyclist negotiating a sharp curve

B

Question. For a particle in a uniformly accelerated circular motion
(a) velocity is radial and acceleration has both radial and transverse components
(b) velocity is transverse and acceleration has both radial and transverse components
(c) velocity is radial and acceleration is transverse only
(d) velocity is transverse and acceleration is radial only

B

Question. For a given angle of the projectile if the initial velocity is doubled the range of the projectile becomes
(a) Half
(b) One -fourth
(c) Two times
(d) Four times

D

Question. If we can throw a ball upto a maximum height H,the maximum horizontal distance to which we can throw it is
(a) 2H
(b) √2H
(c) H
(d) H/2

A

Question. A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolution in 44 seconds, what is the magnitude and direction of acceleration of the stone?
(a) p2 m s–2 and direction along the radius towards the centre.
(b) p2 m s–2 and direction along the radius away from the centre.
(c) p2 m s–2 and direction along the tangent to the circle.
(d) p2/4 m s–2 and direction along the radius towards the centre.

A

Question. Two projectiles are fired from the same point with the same speed at angles of projection 60º and 30º respectively. Which one of the following is true?
(a) Their maximum height will be same
(b) Their range will be same
(c) Their landing velocity will be same
(d) Their time of flight will be same

B

Question. A hunter aims his gun and fires a bullet directly at a monkey on a tree. At the instant the bullet leaves the barrel of the gun, the monkey drops. Pick the correct statement regarding the situation.
(a) The bullet will never hit the monkey
(b) The bullet will always hit the monkey
(c) The bullet may or may not hit the monkey
(d) Can’t be predicted

B

Question. A particle is projected over a triangle from one end of a horizontal base and grazing the vertex falls on the other end of the base. If α and β be the base angles and q the angle of projection, then the correct relation between α, β and θ is
(a) sinq = cosa + tanb
(b) tanq = tana + tanb
(c) cosq = cosa + cosb
(d) sina = sinq + sinb

B

Question. Consider a collection of a large number of particles each with speed v. The direction of velocity is randomly distributed in the collection. The magnitude of the relative velocity between a pair of particles averaged over all the pairs in the collection is
(a) 4v/p
(b) 3v/2p
(c) 5v/3p
(d) 2v/3p

A

Question. A particle is projected horizontally with a speed u from the top of a plane inclined at an angle q with the horizontal.
How far from the point of projection will the particle strike the plane?
(a) 2u2 tanq.secq/g
(b) u2 sinq.cosq/g
(c) 3u2 cosq.secq/g
(d) 2u2 sin2q/g

A

Question. The vector sum of two forces is perpendicular to their vector differences. In that case, the forces
(a) cannot be predicted
(b) are equal to each other
(c) are equal to each other in magnitude
(d) are not equal to each other in magnitude

C

Question. A bomb is released from a horizontal flying aeroplane. The trajectory of bomb is
(a) a parabola
(b) a straight line
(c) a circle
(d) a hyperbola

A

Question. When a shot is projected from a gun at any angle of elevation, the shot as seen from the point of projection will appear to descend past a vertical target with
(a) uniform velocity
(b) uniform acceleration
(c) non-uniform velocity
(d) None of these

A

Question. Position (x) versus time (t) graph of a particle is as shown. The velocity is zero at

(a) t = 2 s
(b) t = 4 s
(c) t = 6 s
(d) Nowhere

A

Question. Position time graph of two particles A and B are as shown in figure. Velocity of A w.r.t. B is
(a) 1/√3 m/s
(b) 2/√3 m/s
(c) √3 m/s
(d) 4/√3 m/s

B

Question. A particle is projected vertically upward. If t1 and t2 are the time related with a height h, then its total time of flight is
(a) 2(t1 + t2)
(b) t1 + t2 /2
(c) t1 + t2
(d) 2(t1 + t2) /t1 + t2

C

Question. Two particles start moving from origin along same straight line such that one moves with constant velocity v and another with constant acceleration a.
During the time that elapses before the second catches the first, the greatest distance between the particle is
(a) v2/2a
(b) v2/a
(c) 2v2/a
(d) v2/3a

A

Question. A car moves with speed v1 upto t/3 time and then with speed v2 upto 2t/3 time. Path is straight line. What is the average speed of car?

D

Question. A body thrown vertically up takes time t1 during upward journey and time t2 during downward journey. If air friction is taken into consideration, then the correct relation between t1 and t2 will be
(a) t1 > t2
(b) t1 < t2
(c) t1 = t2
(d) None of the above

B

Question. The diagram shown below is the position-time graph of a particle in one dimensional motion. Three equal intervals of time are shown. Pick-up the wrong statement

(a) The average speed is smallest in the interval 2
(b) The average speed is largest in the interval 3
(c) Velocity is positive in the interval 1
(d) Average velocity is zero in the interval 3

D

Question. A tennis ball is released so that it falls vertically to the floor and bounces again. Taking velocity upwards as positive, which of the following graphs best represents the variation of its velocity v with time t ?

C

Question. In non-uniform circular motion. If radial vector is rotated by an angle 30°, then the velocity vector is rotated by
(a) 15°
(b) 30°
(c) 60°
(d) 120°

B

Question. A projectile is projected at an angle θ with horizontal with speed u. If air resistance is taken into account, then angle with vertical at time of hitting the ground will be
(a) More than (90 – θ)
(b) Less than (90 – θ)
(c) (90 + θ)
(d) Equal to θ

B

Question. Velocity versus time curve for a particle moving along a straight line is shown in figure. The acceleration at t = 2 s will be

(a) –1/√3 m/s
(b) 2/√3 m/s
(c) –√3 m/s
(d) √3 m/s

A

Question. If the position (x) varies with time (t) as shown in the diagram. The particle has zero average velocity during

(a) t = t1 to t = t3
(b) t = 0 to t = t3
(c) t = t1 to t = t4
(d) t = t1 to t = t5

D

Question. Acceleration (a) versus time (t) graph of a body is as shown in figure, velocity of the body is maximum at

(a) t = 5 s
(b) t = 10 s
(c) t = 15 s
(d) Both (a) & (c)

B

Question. Which of the following graphs is/are not possible for a particle moving in a straight line?

D

Question. A particle starts from rest and moves with an acceleration a that varies with time (t) as shown

The velocity (v) versus time(t) graph will be