JEE Questions for Physics Motion In A Plane Quiz 1 - MCQExams.com

If kinetic energy of the particle of mass m performing UCM in a circle of radius r is E. Find the acceleration of the particle

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  • 2)
    Physics-Motion in a Plane-80289.png
  • 2Emr

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A pellet of mass 1 g is moving with an angular velocity of 1 rads -1 along a circle of radius 1 m, the centrifugal force is
  • 0.1 dyne
  • 12 dyne
  • 10 dyne
  • 100 dyne

Physics-Motion in a Plane-80195.png
  • 45°
  • 40°
  • 42°
  • 48°
A body moving along a circular path of radius R with velocity v, has centripetal acceleration a. If its velocity is made equal to 2v, then its centripetal acceleration is
  • 4a
  • 2a

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A body is just being revolved in a vertical circle of radius R with a uniform speed. The string breaks when the body is at the highest point. The horizontal distance covered by the body after the string breaks is
  • 2R
  • R
  • R√2
  • 4R
A body is tied to one end of the string and whirled in a vertical circle, the physical quantity which remains constant is
  • momentum
  • speed
  • kinetic energy
  • total energy
A particle moves in a circular path with decreasing speed. Choose the correct statement.
  • Angular momentum remains constant
  • Acceleration (a) is towards the centre
  • Particle moves in a spiral path with decreasing radius
  • The direction of angular momentum remains constant
The time period of the second's hand of a watch is
  • 1 h
  • 1 s
  • 12 h
  • 1 min
  • 0.1 h
A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with speed of 0.5 ms -1. What is the height of the plane of circle from vertex of the funnel?
  • 0.25 cm
  • 2 cm
  • 4 cm
  • 2.5 cm
A man can throw a stone to a maximum distance of 80 m. The maximum height to which it will rise in metre, is
  • 30 m
  • 20 m
  • 10 m
  • 40 m
For an object thrown at 45° to horizontal, the maximum height (H) and horizontal range (R) are related as
  • R = 16H
  • R = 8H
  • R = 4H
  • R = 2H
Two bullets are fired simultaneously, horizontally and with different speeds from the same place. Which bullet will hit the ground first?
  • The faster bullet
  • The slower bullet
  • Both will hit simultaneously
  • Depends on the masses
At the top of the trajectory of a projectile, the direction of its velocity and acceleration are
  • perpendicular to each other
  • parallel to each other
  • inclined to each other at an angle of 45°
  • anti-parallel to each other
For a projection, (range)2 is 48 times of (maximum height )2 obtained. Find angle of projection.
  • 60°
  • 30°
  • 45°
  • 75°

Physics-Motion in a Plane-80206.png
  • 36
  • 24
  • 18
  • 9
A bob of mass m attached to an inextensible string of length l is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed ω rad/s about the vertical support. About the point of suspension,
  • angular momentum is conserved
  • angular momentum changes in magnitude but not in direction
  • angular momentum changes in direction but not in magnitude
  • angular momentum changes both in direction and magnitude
A particle is moving uniformly in a circular path of radius r. When it moves through an angular displacement θ, then the magnitude of the corresponding linear displacement will be

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    Physics-Motion in a Plane-80210.png

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A wheel which is initially at rest is subjected to a constant angular acceleration about its axis. It rotates through an angle of 15° in time t sec. The increase in angle through which it rotates in the next 2t sec is
  • 90°
  • 120°
  • 30°
  • 45°
The front wheel on an ancient bicycle has radius 0.5 m. It moves with an angular velocity given by the function ω(t) = 2 + 4t2 , where t is in sec. About how far does the bicycle move between t = 2 s and t = 3 s?
  • 36 m
  • 27 m
  • 21 m
  • 14 m
A hoop of radius r and mass m rotating with an angular velocity ω0 is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?

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  • 2)
    Physics-Motion in a Plane-80217.png

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Two cars of masses m1 and m2 are moving in circles of radii r1 and r2 respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal accelerations is
  • m1r1 : m2 r2
  • m1: m2
  • r1: r2
  • 1:1
A cosmonaut is circling the earth in a satellite at 7 km/s at height of 630 km above the surface of the earth. Calculate the centripetal force acting on the cosmonaut of his mass is (take, Re = 6.37 x 106 m)
  • zero
  • 560 N
  • 600 N
  • 650 N
What is approximately the centripetal acceleration (in ratio of acceleration due to gravity on the earth g =10 m/s2) of an aircraft flying at a speed of 400 m/s through a circular area of radius 0.6 km?
  • 26.6
  • 16.9
  • 13.5
  • 30.2
A ball of mass 0.5 kg is attached to the end of a string having length 0.5 m as shown in figure. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in rad/s) is
Physics-Motion in a Plane-80224.png
  • 9
  • 18
  • 27
  • 36
A bridge is in the form of a semi-circle of radius 40 m. The greatest speed with which a motor cycle can cross the bridge without leaving the ground at the highest point is (take, g = 10 ms -2) and (frictional force is negligibly small)
  • 40 ms -1
  • 20 ms -1
  • 30 ms -1
  • 15 ms -1
  • 25 ms -1

Physics-Motion in a Plane-80227.png
  • The potential energy of the particle is zero
  • 2)
    Physics-Motion in a Plane-80228.png

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A particle is moving with a constant speed v in a circle. What is the magnitude of average after half rotation?
  • 2v
  • 2)
    Physics-Motion in a Plane-80232.png

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If α is angular acceleration, ω is angular velocity and a is the centripetal acceleration, then which of the following is true ?

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  • 2)
    Physics-Motion in a Plane-80237.png

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A particle of mass m is circulating on a circle of radius r having angular momentum L, then the centripetal force will be
  • L2 / mr
  • L2m /r
  • L2 / mr3
  • L2 / mr2
The centripetal acceleration of a body moving in a circle of radius 100 m with a time period of 2 s will be
  • 98.5 ms -2
  • 198.5 ms -2
  • 49.29 ms -2
  • 985.9 ms -2
0:0:1


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