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Statement-1 : In an elastic collision in...

Statement-1 : In an elastic collision in one dimension between two bodies, total momentum remains the same before, during and after the collision.
Statement-2 : In an elastic collision in one dimension between two bodies, total kinetic energy remains the same before, during and after the collision.

A

Statement-1 is True , Statement-2 is True, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True , Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is True.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the two statements regarding elastic collisions in one dimension and determine their validity. ### Step-by-Step Solution: 1. **Understanding Elastic Collision**: - An elastic collision is defined as a collision where both momentum and kinetic energy are conserved. - This means that before the collision, the total momentum and total kinetic energy of the system are equal to the total momentum and total kinetic energy after the collision. 2. **Analyzing Statement 1**: - **Statement 1**: "In an elastic collision in one dimension between two bodies, total momentum remains the same before, during, and after the collision." - According to the law of conservation of momentum, in the absence of external forces, the total momentum of a system remains constant. - Therefore, this statement is **True**. 3. **Analyzing Statement 2**: - **Statement 2**: "In an elastic collision in one dimension between two bodies, total kinetic energy remains the same before, during, and after the collision." - In an elastic collision, the total kinetic energy before and after the collision is conserved. However, during the collision, some of the kinetic energy is temporarily converted into potential energy due to deformation. - Thus, the kinetic energy is not the same during the collision; it is only conserved before and after. - Therefore, this statement is **False**. 4. **Conclusion**: - From the analysis, we conclude that Statement 1 is True and Statement 2 is False. ### Final Answer: - Statement 1: True - Statement 2: False
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