JEE Questions for Physics Motion In A Plane Quiz 11 - MCQExams.com

When a body moves in a circular path, no work is done by the force since
  • There is no displacement
  • There is no net force
  • Force and displacement are perpendicular to each other
  • The force is always from the centre
Which of the following statements is false for a particle moving in a circle with a constant angular speed?
  • The velocity vector is tangent to the circle
  • The acceleration vector is tangent to the circle
  • The acceleration vector points to the centre of the circle
  • The velocity and acceleration vector are perpendicular to each other

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    Physics-Motion in a Plane-80879.png

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The earth moves round the Sun in a near circular orbit of radius 1.5 × 1011 m. Its centripetal acceleration is
  • 1.5 × 10–3 m/s2
  • 3 × 10–3 m/s2
  • 6 × 10–3 m/s2
  • 12 × 10–3 m/s2
If a car is to travel with a speed v along the frictionless, banked circular track of radius r, the required angle of banking so that the car does skid is

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    Physics-Motion in a Plane-80885.png

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A stone of mass 2 kg is tied to a string of length 0.5 m. If the breaking tension of the string is 900 N, then the maximum angular velocity, the stone can have in uniform circular motion is
  • 30 rad s–1
  • 20 rad s–1
  • 10 rad s–1
  • 25 rad s–1
In a circus stuntman rides a motorbike in a circular track of radius R in the vertical plane. The minimum speed at highest point of track will be

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    Physics-Motion in a Plane-80891.png

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A block of mass m at the end of a string is whirled round in a vertical circle of radius R. The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is
  • Rg
  • (Rg)2
  • R/g

  • Physics-Motion in a Plane-80895.png
A sphere is suspended by a thread of length . What minimum horizontal velocity has to be imparted the ball for it to reach the height of the suspension?
  • gl
  • 2gl

  • Physics-Motion in a Plane-80897.png

  • Physics-Motion in a Plane-80898.png
A wheel is subjected to uniform angular acceleration about its axis. Initially its angular velocity is zero. In the first 2 sec, it rotates through an angle θ1. In the next 2 sec, it rotates through an additional angle θ2. The ratio of θ2/θ1 is
  • 1
  • 2
  • 3
  • 5
A 2 kg stone at the end of a string 1 m long is whirled in a vertical circle at a constant speed. The speed of the stone is 4 m/sec. The tension in the string will be 52 N, when the stone is
  • At the top of the circle
  • At the borrot of the circle
  • Halfway down
  • None of the above
A particle moves in a circle of radius 30 cm. Its linear speeds is given by v = 2t, where t in second and v in m/s. Find out its radial an tangential acceleration at t = 3sec, respectively,
  • 220 m/sec2, 50 m/sec2
  • 100 m/sec2, 5 m/sec2
  • 120 m/sec2, 2 m/sec2
  • 110 m/sec2, 10 m/sec2
The string of pendulum of length l displaced through 90o from the vertical and released. Then, the minimum strength of the string in order to withstand the tension, as the pendulum passes through the mean position is
  • mg
  • 3 mg
  • 5 mg
  • 6 mg
A weightless thread can support tension upto 30 N. A stone of mass 0.5 kg is tied to it and is revolved in a circular path of radius 2 m in a vertical plane. If g = 10 m/s2, then the maximum angular velocity of the stone will be
  • 5 rad/s
  • 2)
    Physics-Motion in a Plane-80904.png

  • Physics-Motion in a Plane-80905.png
  • 10 rad/s
A heavy mass in attached to a thin wire and is whirled in a vertical circle. The wire id most likely to break
  • When the mass is at the highest point of the circle
  • When the mass is at the lowest point of the circle
  • When the wire is horizontal
  • At an angle of cos–1(1/from the upward vertical
A weightless thread can bear tension upto 3.7 kg wt. A stone of mass 500 gm is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10 ms–2, then the maximum angular velocity of the stone will be
  • 4 radians/sec
  • 16 radians/sec

  • Physics-Motion in a Plane-80907.png
  • 2 radians/sec
The minimum velocity at the lowest point, so that the string just slack at the highest point in a vertical circle of radius l

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    Physics-Motion in a Plane-80910.png

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  • Physics-Motion in a Plane-80912.png
If the equation for the displacement of a particle moving on a circular path is given by (θ) = 2t3 + 0.5, where θ is in radians and t in seconds, then the angular velocity of the particle after 2 sec from its start is
  • 8 rad/sec
  • 12 rad/sec
  • 24 rad/sec
  • 36 rad/sec
A body of mass m hangs at one end of a string of length l, the other end of which is fixed. It is given a horizontal velocity so that the string would just reach, where it makes an angle of 60o with the vertical. The tension in the string at mean position is
  • 2 mg
  • mg
  • 3 mg

  • Physics-Motion in a Plane-80914.png
In a vertical circle of radius r at what point in its path a particle has tension equal to zero if it is just able to complete the vertical circle
  • Highest point
  • Lowest point
  • Any point
  • At a point horizontally from the centre of circle of radius r
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
  • a/4
  • a/2
A pendulum bob on a 2 m string is displaced 60o from the vertical and then released. What is the speed of the bob as it passes through the lowest point in its path?

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    Physics-Motion in a Plane-80918.png

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A fan is making 600 revolutions per minute. If after some time it makes 1200 revolutions per minute, then increase in its angular velocity is
  • 10 π rad/sec
  • 20 π rad/sec
  • 40 π rad/sec
  • 60 π rad/sec
A particle is tied to 20 cm long string. It performs circular motion in vertical plane. What is the angular velocity of string when the tension in the string at the top is zero?
  • 5 rad/sec
  • 2 rad/sec
  • 7.5 rad/sec
  • 7 rad/sec
A stone tied with a string is rotated in a vertical circle. The minimum speed with which the string has to be rotated
  • Is independent of the mass of the stone
  • Is independent of the length of the string
  • Decreases with increasing mass of the stone
  • Decreases with increasing in length of the string
A fighter plane is moving in a vertical circle of radius \'r\'. Its minimum velocity at the highest point of the circle will be

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    Physics-Motion in a Plane-80925.png

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A stone of mass m is tied to a string and is moved in a vertical circle of radius r making n revolutions per minute. The total tension in the string when the stone is at its lowest point is

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    Physics-Motion in a Plane-80929.png

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As per given figure to complete the circular loop what should be the radius if initial height is 5 m
Physics-Motion in a Plane-80933.png
  • 4 m
  • 3 m
  • 2.5 m
  • 2 m
A body crosses the topmost point of a vertical circle with critical speed. Its centripetal acceleration, when the string is horizontal will be
  • 6 g
  • 3 g
  • 2 g
  • g
A simple pendulum oscillates in a vertical plane. When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob. What is the maximum displacement of the pendulum with respect to the vertical?
  • 30o
  • 45o
  • 60o
  • 90o
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