Home
Class 11
PHYSICS
Consider a collection of a large number ...

Consider a collection of a large number of particles each with speed v. The direction of velocity is randomly distributed in the collection. Show that the magnitude of the relative velocity between a pair of particles averaged over all the pairs in the collection is greater than v.

A

zero

B

greater than`v`

C

less than `v`

D

`v`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS 1

    DC PANDEY|Exercise MCQ_TYPE|27 Videos
  • KINEMATICS 1

    DC PANDEY|Exercise COMPREHENSION_TYPE|19 Videos
  • KINEMATICS

    DC PANDEY|Exercise INTEGER_TYPE|11 Videos
  • LAWS OF MOTION

    DC PANDEY|Exercise Medical entrances gallery|39 Videos

Similar Questions

Explore conceptually related problems

Consider a collection of a large number of particles each with speed v in a plane.The direction of velocity is randomly distributed in the collection.The magnitude of the average relative velocity of a particle with velocities of all other particles is

A large number of particles are moving each with speed v having directions of motion randomly distributed. What is the average relative velocity between any two particles averaged over all the pairs?

A particle is moving with a constant speed v in a circle. What is the magnitude of average velocity after half rotation?

A particle is projected with a speed v and an angle theta to the horizontal. After a time t, the magnitude of the instantaneous velocity is equal to the magnitude of the average velocity from 0 to t. Find t.

In a collinear collision, a particle with an initial speed v_0 strikes a stationary particle of the same mass. If the final total kinetic energy is 50% greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is:

In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the final total kinetic energy is 50% greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is :

A particle moves with constant speed v along a regular hexagon ABCDEF in the same order. Then the magnitude of the avergae velocity for its motion form A to

The fig. shows the displacement time graph of a particle moving on a straight line path. What is the magnitude of average velocity of the particle over 10 seconds?

Assertion : Particle A is moving Eastwards and particle B Northwards with same speed. Then, velocity of A with respect to B is in South-East direction. Reason : Relative velocity between them is zero as their speeds are same.