Class 12 Physics: Elastic Collision Problem Solution

In this post, we will solve a Class 12 Physics problem involving an elastic collision. This topic is essential for your upcoming Class 12 Physics board exam. The question focuses on a particle colliding with a rod and comes to rest. Let's dive into the solution.

Problem:

Class 12 physics board question


A particle of mass m is moving with speed v and collides elastically with a uniform rod of mass M and length L, perpendicularly. After the collision, the particle comes to rest. The task is to find the value of the ratio m/M.

Solution:

To solve this, we can apply the principles of conservation of linear momentum and conservation of energy because the collision is elastic.

  • Let the velocity of the rod just after the collision be V.
  • The total momentum before and after the collision must be equal because there is no external force.
  • The total energy is also conserved because the collision is elastic.

After solving, the ratio m/M comes out to be 1/3.

Answer:

The correct option is (A) 1/3.

Keywords: Class 12 Physics, elastic collision, Class 12 Physics board exam, collision problem, physics solution, m/M ratio.

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