JEE Questions for Physics Motion In A Plane Quiz 2 - MCQExams.com

Given that centripetal force F= – k/r2. The total energy is
  • – k/r2
  • – k/r
  • – k/2r2
  • – k/2r
An electric fan has blades of length 30 cm as measured from the axis of rotation. If the fan is rotating at 1200 rpm, the acceleration of a point on the tip of the blade is about
  • 1600 ms -2
  • 4740 ms -2
  • 2370 ms -2
  • 5055 ms -2
A cyclist moves in such a way that he takes 60° turn after 100 m. What is the displacement when he takes seventh turn?
  • 100 m
  • 200 m
  • 100√3 m
  • 100√2 m
A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 s for every circular lap. The average velocity and average speed for each circular lap, respectively is
  • 0, 0
  • 0, 10 ms -1
  • 10 ms -1, 10 ms -1
  • 10 ms -1, 0
A bucket filled with water is tied to a rope of length 0.5 m and is rotated in a circular path in vertical plane. The least velocity it should have at the lowest point of circle, so that water does not spill, is (take,g =10 ms -2 )
  • √5 ms -1
  • √10 ms -1
  • 5 ms -1
  • 2√5 ms -1
A car is circulating on the path of radius r and at any time its velocity is v and rate of increase of velocity is a. The resultant acceleration of the car will be

  • Physics-Motion in a Plane-80283.png
  • 2)
    Physics-Motion in a Plane-80284.png

  • Physics-Motion in a Plane-80285.png

  • Physics-Motion in a Plane-80286.png
A stone tied to one end of rope and rotated in a circular motion. If the string suddenly breaks, then the stone travels
  • in perpendicular direction
  • in direction of centrifugal force
  • towards centripetal force
  • in tangential direction
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane it follows that
  • its velocity is constant
  • its acceleration is constant
  • its kinetic energy is constant
  • it moves in a straight line
A toy cyclist completes one round of a square track of side 2 m in 40 s. What will be the displacement at the end of 3 min?
  • 52 m
  • zero
  • 16 m
  • 2√2 m
  • 4√2 m
A body moves along a circular path of radius 10 m and the coefficient of friction is 0.5. What should be its angular speed in rad s -1, if it is not to slip from the surface? (take, g = 9.8 ms -2)
  • 5
  • 10
  • 0.1
  • 0.7

Physics-Motion in a Plane-80250.png
  • 1st and 4th
  • 2nd and 4th
  • 2nd and 3rd
  • 3rd and 4th
A wheel of radius 1 m rolls forward half a revolution on a horizontal ground. The magnitude to the displacement of the point of the wheel initially in contact with the ground is
  • 2π
  • √2π

  • Physics-Motion in a Plane-80252.png
  • π
The minimum velocity (in ms -1) with which a car driver must traverse a flat curve of radius of 150 m and coefficient of friction 0.6 to avoid skidding is
  • 60
  • 30
  • 15
  • 25
A ball is projected upwards from the top of tower with a velocity 50 m/s making an angle 30° with the horizontal. The height of tower is 70 m. After how many seconds from the instant of throwing will the ball reach the ground?
  • 2 s
  • 5 s
  • 7 s
  • 9 s

Physics-Motion in a Plane-80256.png
  • y = x – 5x2
  • y = 2x – 5x2
  • 4y = 2x – 5x2
  • 4y = 2x – 25x2
A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone upto will be
  • 20√2 m
  • 10 m
  • 10√2 m
  • 20 m
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 – 5t2 metre and x= 6t metre, where t is in second. The velocity with which the projectile is projected, is
  • 14 ms -1
  • 10 ms -1
  • 8 ms -1
  • 6 ms -1
If a person can throw a stone to maximum height of h metre vertically, then the maximum distance through which it can be thrown horizontally by the same person is
  • h/2
  • h
  • 2h
  • 3h
A projectile is thrown at an angle β with vertical. It reaches a maximum height H. The time taken to reach the highest point of its path is

  • Physics-Motion in a Plane-80261.png
  • 2)
    Physics-Motion in a Plane-80262.png

  • Physics-Motion in a Plane-80263.png

  • Physics-Motion in a Plane-80264.png
A bullet is to be fired with a speed of 20 ms -1 to hit a target 200 m away on a level ground. If g = 10 ms -2, the gun should be aimed
  • directly at the target
  • 5 cm below the target
  • 5 cm above the target
  • 2 cm above the target
  • 2 cm below the target
If a body is projected with an angle θ to the horizontal, then
  • its velocity is always perpendicular to its acceleration
  • its velocity becomes zero as its maximum height
  • its velocity makes zero angle with the horizontal at its maximum height
  • the body just before hitting the ground, the direction of velocity coincides with the acceleration
A particle moves in a circle of radius 30 cm. Its linear speed is given by v = 2t, where t is in second and v in ms -1. Find out its, radial and tangential acceleration at t = 3s, respectively,
  • 220 ms -2, 50 ms -2
  • 100 ms -2, 5 ms -2
  • 120 ms -2, 2 ms -2
  • 110 ms -2, 10 ms -2
Two particles A and B are projected with same speed so that ratio of their maximum heights reached is 3 : 1. If the speed of A is doubled without altering other parameters, the ratio of the horizontal ranges attained by A and B is
  • 1 : 1
  • 2 : 1
  • 4 : 1
  • 3 : 2
  • 4 : 3
A ball thrown by one player reaches the other in 2 s. The maximum height attained by the ball above the point of projection will be ( take, g =10 ms -2)
  • 2.5 m
  • 5 m
  • 7.5 m
  • 10 m
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 metre is
  • 336
  • 224
  • 56
  • 34
A boy playing on the roof of a 10 m high building throws a ball with a speed of 10 ms -1 at an angle of 30° with the horizontal. How far from the throwing point will the ball be at the height of 10 m from the ground? (take, g =10ms-2 , sin 30° = 1/2 , cos 30° = √3/
  • 5.20 m
  • 4.33 m
  • 2.60 m
  • 8.66 m
A ball is projected from the ground at a speed of 10 ms -1 making an angle of 30° with the horizontal. Another ball is simultaneously released from a point on the vertical line along the maximum height of the projectile. The initial height of the second ball is (take, g =10 ms -2 )
  • 6.25 m
  • 2.5 m
  • 3.75 m
  • 5 m
  • 1.25 m
A ball rolls of the top of stair-way with a horizontal velocity of magnitude 1.8 ms -1. The steps are 0.20 m high and 0.20 m wide, Which step will the ball hit first?
  • First
  • Second
  • Third
  • Fourth
A particle is projected with velocity √2gh, such that it just crosses two walls of height h and separated by h. Find the angle of projection.
  • 15°
  • 75°
  • 60°
  • 30°
A body is projected at such angle that the horizontal range is three times the greatest height. The angle of projection is
  • 42°8'
  • 53°7'
  • 33°7'
  • 25°8'
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