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NCERT Solutions for class 11 Physics | Chapter 4 - Motion in a Plane

(1) One radian is defined to be the angle subtended where the arc length S is exactly equal to the?
[A] radius of the circle.
[B] diameter of the circle.
[C] circumference of the circle.
[D] half of radius of the circle.
Answer: radius of the circle.
(2) To attain maximum range, the projectile must be launched at an angle of?
[A] 0°
[B] 45°
[C] 90°
[D] 60°
Answer: 45°

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(3) A body makes a displacement of 4 m due East from a point O and then makes displacement of 3 m due North . Its resultant displacement from O
[A] 7 m
[B] 1 m
[C] 5 m
[D] 1 . 2 m
Answer: 5 m
(4) A frictional track ABCDE ends in a circular loop of radius R, body slides down the track from point A which is at a height h of 5 cm. Maximum value of R for the body to successfully complete the loop is:
[A] 15/4 cm
[B] 5 cm
[C] 10/3 cm
[D] 2 cm
Answer: 2 cm
(5) The dimensional formula for angular velocity is
[A] T-1
[B] LT-1
[C] L-1T-1
[D] L-1T
Answer: T-1
(6) The displacement of a particle is given by the expression y = at + bt2 , where a and b are constants . The acceleration of the particle at any instant is given by
[A] 2b
[B] zero
[C] a + 2b
[D] at + 2b
Answer: 2b
(7) Small angle produces?
[A] straight trajectory
[B] steep trajectory
[C] flat trajectory
[D] high trajectory
Answer: flat trajectory
(8) Centripetal acceleration is the acceleration which is always directed towards the centre of the?
[A] Parallelogram
[B] square
[C] circle
[D] ellipse
Answer: circle
(9) The angle between centripetal acceleration and tangential acceleration is?
[A] 180°
[B] 0°
[C] 90°
[D] 45°
Answer: 90°
(10) A bucket containing water is tied to one end of a rope of length 2.5 m and rotated about the other end in a vertical circle. What should be the minimum velocity of the bucket at the highest point, so that the water in the bucket will not spill? (g = 10 m/s2)
[A] 7 m/s
[B] 4 m/s
[C] 2.5 m/s
[D] 5 m/s
Answer: 5 m/s
(11) Which is a constant for a freely falling object?
[A] displacement
[B] velocity
[C] acceleration
[D] speed
Answer: acceleration
(12) The total flight requires a time that is?
[A] four times the time necessary to reach the maximum height.
[B] thrice the time necessary to reach the maximum height
[C] equal to the time necessary to reach the maximum height.
[D] twice the time necessary to reach the maximum height
Answer: twice the time necessary to reach the maximum height
(13) One ° (1°) is equal to?
[A] 0.1745 rad
[B] 0.01745 rad
[C] 0.001745 rad
[D] 7.1745 rad
Answer: 0.01745 rad
(14) The path followed by a projectile is called its?
[A] Territory
[B] Treasury
[C] Tractor
[D] Trajectory
Answer: Trajectory
(15) A cyclist goes round a circular path of circumference 343 m in s. The angle made by him, with the vertical is
[A] 44°
[B] 42°
[C] 43°
[D] 45°
Answer: 45°
(16) Centripetal acceleration is the acceleration which is always directed towards the centre of the?
[A] Parallelogram
[B] square
[C] circle
[D] ellipse
Answer: circle
(17) A body of mass m performing UCM with frequency n along the circumference of circle having radius r, force is given by
[A] 4pnm2
[B] 4p2n2m
[C] p2n2mr
[D] 1/2 pnm2
Answer: 4p2n2m
(18) The horizontal distance from the origin (x=O, y=O) to the point where the projectile returns (x = R, y=O) is called?
[A] Vertical component of the projectile
[B] Trajectory of the projectile
[C] maximum height of the projectile
[D] Range of the projectile
Answer: Range of the projectile
(19) A cyclist is moving in a circular track of radius 80 m, with a velocity of 36 km/hour. In order to keep his balance, he has to lean inwards from the vertical through an angle q. If g = 10 m/s2, then q is given by
[A] tan-1 (1/8)
[B] tan-1 (1/4)
[C] tan-1 (4)
[D] tan-1 (2)
Answer: tan-1 (1/8)
(20) A particle revolves round a circular path. The acceleration of the particle is
[A] zero
[B] along the circumference of the circle
[C] along the tangent
[D] along the radius
Answer: along the radius

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