JEE Questions for Physics Motion In A Plane Quiz 6 - MCQExams.com

A particular P is moving in a circle of radius ‘r’ with a uniform speed v. C is the centre of the circle and AB is the diameter. The angular velocity of P about A and C is in ratio
  • 1 : 1
  • 1 : 2
  • 2 : 1
  • 4 : 1
A body slides down a frictionless track which ends in a circular loop of diameter D. Then the minimum height h of the body in terms of D so that it may just complete the loop, is

  • Physics-Motion in a Plane-80570.png
  • 2)
    Physics-Motion in a Plane-80571.png

  • Physics-Motion in a Plane-80572.png

  • Physics-Motion in a Plane-80573.png

Physics-Motion in a Plane-80575.png

  • Physics-Motion in a Plane-80576.png
  • 2)
    Physics-Motion in a Plane-80577.png

  • Physics-Motion in a Plane-80578.png

  • Physics-Motion in a Plane-80579.png
A wheel is subjected to uniform angular acceleration about its axis. Initially, its angular velocity is zero. In the first two seconds, it rotates through angle θ1, and in the next two seconds, it rotates through angle θ2. Then θ2/θ1is
  • 1
  • 4
  • 3
  • 2
An electric fan has blades of length 30 cm measured from the axis of rotation. If the fan is rotating at 120 rpm, the acceleration of a point on the tip of the blade is
  • 1600 ms–2
  • 47.4 ms–2
  • 23.7 ms–2
  • 50.55 ms–2
A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track is
  • zero
  • 30º
  • 45º
  • 60º
A wheel making 20 revolution per second is stopped in 20 seconds. Its angular retardation is

  • Physics-Motion in a Plane-80584.png
  • 2)
    Physics-Motion in a Plane-80585.png

  • Physics-Motion in a Plane-80586.png

  • Physics-Motion in a Plane-80587.png
A boat is sent across a river with a velocity of 8 km h-1. If the resultant velocity of boat is 10 km h-1, then velocity of river is
  • 12.8 km h-1
  • 6 km h-1
  • 8 km h-1
  • 10 km h-1
A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration ac is varying with time t ac = k2rt2, where k is a constant. The power delivered to the particle by the forces acting on it is

  • Physics-Motion in a Plane-80590.png
  • 2)
    Physics-Motion in a Plane-80591.png

  • Physics-Motion in a Plane-80592.png
  • zero
A particle reaches its highest point when it has covered exactly one half of its horizontal range. The corresponding point on the displacement - time graph is characterised by
  • negative slope and zero curvature
  • zero slope and negative curvature
  • zero slope and positive curvature
  • positive slope and zero curvature

Physics-Motion in a Plane-80594.png

  • Physics-Motion in a Plane-80595.png
  • 2)
    Physics-Motion in a Plane-80596.png

  • Physics-Motion in a Plane-80597.png

  • Physics-Motion in a Plane-80598.png
The speed of a boat is 5 km/h in still water. It crosses a river of width 1.0 km along the shortest possible path in 15 minutes. The velocity of the river water is (in km/h)
  • 1
  • 3
  • 5
  • 4
Two particles A and B are connected by a rigid rod AB. The rod slides along perpendicular rails as shown here. The velocity of A to the left is 10 m/s. What is the velocity of B when angle α = 30º ?
Physics-Motion in a Plane-80601.png
  • 9.8 m/s
  • 10 m/s
  • 5.8 m/s
  • 17.3 m/s

Physics-Motion in a Plane-80603.png
  • –2Ka2
  • 2Ka2
  • –Ka2
  • Ka2
If at a height of 40 cm, the direction of motion of a projectile makes an angle π/4 with the horizontal, then its initial velocity and angle of projection are, respectively

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  • 2)
    Physics-Motion in a Plane-80606.png

  • Physics-Motion in a Plane-80607.png

  • Physics-Motion in a Plane-80608.png
Three forces of magnitude 5N, 5N and √50 N act on a corner of a cube along the three sides as shown in Fig. Resultant of these forces is
Physics-Motion in a Plane-80610.png
  • 10N along OB
  • 15 N along OA
  • 15 N along OC
  • 10N along OE

Physics-Motion in a Plane-80612.png

  • Physics-Motion in a Plane-80613.png
  • 2)
    Physics-Motion in a Plane-80614.png

  • Physics-Motion in a Plane-80615.png

  • Physics-Motion in a Plane-80616.png
A ball of mass 0.3 kg is whirled in a circle at the end of a string of a string 1.0 m long whose breaking strength is 10 N. The maximum speed of the ball is approximately (neglecting gravity)
  • 2 ms–1
  • 7 ms–1
  • 10 ms–1
  • 15 ms–1
An object of mass 10 kg is whirled round a horizontal circle of radius 4 m by a revolving string inclined 300 to the vertical. If the uniform speed of the object is 5 ms-1, the tension in the string (approximately) is
  • 720 N
  • 960 N
  • 114 N
  • 128 N

Physics-Motion in a Plane-80620.png
  • x = 2y
  • y = 2x
  • x = y
  • y = 4x
A particle is thrown with velocity u making an angle θ with the vertical. It just crosses the top of two poles each of height h after 1s and 3s respectively. The maximum height of projectile is
Physics-Motion in a Plane-80622.png
  • 9.8 m
  • 19.6 m
  • 39.2 m
  • 4.9 m

Physics-Motion in a Plane-80624.png
  • 2
  • 4
  • 6
  • 8

Physics-Motion in a Plane-80626.png
  • -7
  • +7
  • +10
  • +13
Three forces of magnitudes 6 N, 6 N and √72N act at a corner of a cube along three sides as shown in Fig. Resultant of these forces is
Physics-Motion in a Plane-80628.png
  • 12 N angle OB
  • 18 N along OA
  • 18 N along OC
  • 12 N along OE
A boy throws a ball upwards with velocity u = 15 ms–1. The wind imparts a horizontal acceleration of 3 ms–2 to the left. The angle θ at which the ball must be thrown so that the ball returns to the boy’s hand is (use g = 10 ms–2)
Physics-Motion in a Plane-80630.png

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  • 2)
    Physics-Motion in a Plane-80632.png

  • Physics-Motion in a Plane-80633.png

  • Physics-Motion in a Plane-80634.png
A swimmer crosses a flowing stream of width d to and fro in time t1 . The time taken to cover the same distance up and down the stream is t2. Then the time the swimmer would take to swim a distance 2 d in still water is

  • Physics-Motion in a Plane-80636.png
  • 2)
    Physics-Motion in a Plane-80637.png

  • Physics-Motion in a Plane-80638.png

  • Physics-Motion in a Plane-80639.png
Time taken by the projectile to reach from A to B is t, then the distance AB is equal to
Physics-Motion in a Plane-80641.png
  • 2 ut
  • 2)
    Physics-Motion in a Plane-80642.png

  • Physics-Motion in a Plane-80643.png

  • Physics-Motion in a Plane-80644.png
Average torque on a projectile of mass m, initial speed u and angle of projection θ, between initial and final position P and Q as shown in Fig. about the point of projection is

  • Physics-Motion in a Plane-80646.png
  • 2)
    Physics-Motion in a Plane-80647.png

  • Physics-Motion in a Plane-80648.png

  • Physics-Motion in a Plane-80649.png
A rod of length l slides down along the inclined wall as shown in Fig. At the instant shown in figure, the speed of the end P is v, then the speed of Q will be
Physics-Motion in a Plane-80651.png

  • Physics-Motion in a Plane-80652.png
  • 2)
    Physics-Motion in a Plane-80653.png

  • Physics-Motion in a Plane-80654.png

  • Physics-Motion in a Plane-80655.png
A particle A is projected from the ground with an initial velocity of 10 m/s at an angle of 60o with horizontal. From what height should an another particle B be projected horizontally with velocity 5 m/s so that both the particles collide in ground at point C if both are projected simultaneously g = 10 m/s2
Physics-Motion in a Plane-80657.png
  • 10 m
  • 15 m
  • 20 m
  • 30 m
0:0:1


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