JEE Questions for Physics Motion In A Plane Quiz 7 - MCQExams.com

A particle starts from the origin, goes along X-axis to the point (20 m,and then returns along the same line to the point (–20 m, 0). The distance and displacement of the particle during the trip are
  • 40 m, 0
  • 40 m, 20 m
  • 40 m, –20
  • 60 m, –20 m
When two bodies move uniformly towards each other the distance between them decreases by 8m/s. If both bodies move in the same direction with different speeds the distance between them increases by 2 m/s. The speeds of two bodies will be 4m/s and 3 m/s
  • 4 m/s and 3 m/s
  • 4 m/s and 2 m/s
  • 5 m/s and 3 m/s
  • 7 m/s and 3 m/s
A bus travels the first one third distance at a speed of 10 Km/h. The next one third distance at 20Km/h and the last one third distance at 60Km/h. The average speed of the bus is
  • 16 km/h
  • 18 km/h
  • 9 km/h
  • 48 km/h
A particle moving in a straight line covers half the distance with speed of 3m/s. The other half of the distance is covered in two equal time intervals with speed of 4.5m/s and 7.5 m/s respectively. The average speed of the particle during this motion is
  • 4.0 m/s
  • 5.0 m/s
  • 5.5 m/s
  • 4.8 m/s
On displacement time graph, two straight lines make angle 60º and 30º with time axis. The ratio of the velocities represented by them is
Physics-Motion in a Plane-80661.png
  • 1 : 2
  • 1 : 3
  • 2 : 1
  • 3 : 1
A frictionless wire AB fixed on a sphere of radius R. A very small spherical ball slips on this wire. The time taken by this ball to slip from A to B is
Physics-Motion in a Plane-80663.png

  • Physics-Motion in a Plane-80664.png
  • 2)
    Physics-Motion in a Plane-80665.png

  • Physics-Motion in a Plane-80666.png

  • Physics-Motion in a Plane-80667.png
A rod of length l leans by its upper end against a smooth vertical wall, while its other end leans against the floor. The end that leans against the wall moves uniformly downwards. Then
Physics-Motion in a Plane-80669.png
  • the other end also moves uniformly
  • the speed of other end goes on increasing
  • the speed of other end goes on decreasing
  • the speed of other end first decreases and then increases.
Which one of the following represents the time displacement graph of two objects A and B moving with zero relative speed.

  • Physics-Motion in a Plane-80671.png
  • 2)
    Physics-Motion in a Plane-80672.png

  • Physics-Motion in a Plane-80673.png

  • Physics-Motion in a Plane-80674.png
Two particles A and B are connected by a rigid rod AB. The rod slides along perpendicular rails as shown in Fig. The velocity of A to the right is 10 m/s. What is the velocity of B when angle θ = 60º ?
Physics-Motion in a Plane-80675.png
  • 9.8 m/s
  • 10 m/s
  • 5.8 m/s
  • 17.3 m/s
Two persons A and B standing 54 m apart on a long moving belt. Person A rolls a ball towards person B with a speed of 9 ms–1 with respect to the belt. If the belt is moving with a speed of 4 ms–1 in the direction from A to B, what is the speed of the ball with respect to an observer on a stationary platform :
  • 13 ms–1
  • 9 ms–1
  • 5 ms–1
  • 4 ms–1
Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T min. A man cycling with a speed of 20 km/h in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min. in the opposite direction. The period T of bus service is
  • 18 min
  • 6 min
  • 9 min
  • 12 min
A car leaves station X for station Y every 10 minutes. The distance between X and Y is 60 km. The car travels at a speed of 60 km/h. A man drives a car from Y station towards X station at speed 60 kmh–1. If he starts at the moment when one of the cars leaves station X, how many cars would be meet on route?
  • 10
  • 11
  • 20
  • 21
A stone is dropped from the top of a tower and travels 24.5 m in last second of its journey. The height of the tower is
  • 44.1m
  • 49 m
  • 78.4 m
  • 78.4 m
A balloon starts rising from the ground with an acceleration of 1.25 m/s2. After 8 s. stone is released from the balloon. The stone will
  • cover a distance of 40m
  • have a displacement 50 m
  • reach the ground in 4s
  • begin to move down after being released
The velocity time graph of a body is shown in the Fig. The ratio of the average velocity during the intervals OC and CB is
Physics-Motion in a Plane-80681.png
  • 3
  • 2
  • 1
  • 4
A point initially at rest moves along the X – axis. Its acceleration varies with time as a = (5t +m/s2. If it starts from the origin, the distance covered by it in 2 second is
  • 18.66m
  • 14.33m
  • 12.18m
  • 6.66 m
The time is expressed as function of x where α and β are constants as t = αx2 + βx and υ is velocity. The retardation is
  • 2 αν3
  • 2 βν3
  • 2 αβν3
  • 2 β2ν3
The motor of an electric train can give it an acceleration of 1 m/s2 and brakes can give a negative acceleration of 3 m/s2. The shortest time in which the train can make a trip between the two stations 1215 m apart is
  • 113.6s
  • 56.9s
  • 60s
  • 55s
A ball is dropped from top of a building. The ball takes 0.5s to fall past the 3m length of a window some distance from top of building. With what speed does the ball pass the top of window?
  • 6 m/s
  • 12 m/s
  • 7 m/s
  • 3.5 m/s
Two bodies are thrown vertically upwards with their initial speeds in the ratio 2:3. Then the ratio of the maximum heights attained by them is
  • 2 : 3
  • 4 : 9
  • 1 : 1

  • Physics-Motion in a Plane-80686.png
A stone thrown upward with a speed u from the top of the tower reaches the ground with a velocity 3u. The height of the tower is
  • 3u2/g
  • 4u2/g
  • 6u2/g
  • 9u2/g
Drops of water fall from the roof of a building 9m high at regular intervals of time, the first drop reaching the ground at the same instant fourth drop starts its fall. What are the distances of the second and third drops from the roof ?
  • 6m and 2m
  • 6m and 3m
  • 4m and 1m
  • 4m and 2m
A particle moves along X-axis in such a way that its co-ordinate (x) varies with time t according to expression x = 2 – 5t + 6t2. The initial velocity of the particle is
  • –5m/s
  • –3m/s
  • 6m/s
  • 3m/s
The velocity time relation of a particle starting from rest is given by ν = kt where k = 2m/s2 . The distance traversed in 3 sec is
  • 9m
  • 16m
  • 27m
  • 36m
A stone is dropped from the top of a tower. If it covers 24.5 m in its last second of its motion, the height of the tower is
  • 44.1m
  • 49.m
  • 78.4m
  • 72.m
The initial velocity of a particle is u (at t =and the acceleration f is given by at2. Its velocity ν at time t is

  • Physics-Motion in a Plane-80693.png
  • 2)
    Physics-Motion in a Plane-80694.png

  • Physics-Motion in a Plane-80695.png

  • Physics-Motion in a Plane-80696.png
A man in a balloon rising vertically with an acceleration of 4.9 m/sec2 releases a ball 2 seconds after the balloon is let go from the ground. The greatest height above the ground reached by the ball is (g = 9.8 m/sec2)
  • 14.7 m
  • 19.6 m
  • 9.8 m
  • 24.5 m
A boy sitting on the topmost berth in the compartment of a train which is just going to stop on a railway station, drops an apple aiming at the open hand of his brother situated vertically below his hands at a distance of about 2 metres. The apple will fall
  • precisely in the hand of his brother
  • slightly away from the hand of his brother in the direction of motion of the train
  • slightly away from the hand of his brother in the direction opposite to the direction of motion of the train
  • none of the above
The velocity-time graph of a body is shown in fig. It implies that at point B.
Physics-Motion in a Plane-80699.png
  • the force is zero
  • there is a force towards motion
  • there is a force which opposes motion
  • there is only gravitational force
A point moves in a straight line so that its displacement x metres at time t seconds is given by x2 = 1 + t2. Its acceleration in ms–2 at time t seconds is

  • Physics-Motion in a Plane-80700.png
  • 2)
    Physics-Motion in a Plane-80701.png

  • Physics-Motion in a Plane-80702.png

  • Physics-Motion in a Plane-80703.png
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