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Assertion : In an elastic collision of ...

Assertion : In an elastic collision of two billiard balls, the total knetic energy is conserved during the short time of oscillation of the balls ( i.e. when they are in contact ) .
Reason : Energy spent against friction does not follow the law of conservation of energy .

A

If both the assertion and reason are true and reason is correct explanation of the assertion .

B

If both the assertion and reason are true but reason is not a correct explanation of the assertion .

C

If the assertion is true but the reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that in an elastic collision of two billiard balls, the total kinetic energy is conserved during the short time of oscillation when the balls are in contact. - In an elastic collision, both momentum and kinetic energy are conserved. However, during the brief moment of contact, the balls may deform, and some kinetic energy is converted into potential energy due to this deformation. Therefore, the total kinetic energy is not conserved at that instant. - **Conclusion**: The assertion is **incorrect**. 2. **Understanding the Reason**: - The reason states that energy spent against friction does not follow the law of conservation of energy. - The law of conservation of energy is always valid; however, when friction is present, some mechanical energy is converted into other forms of energy (like heat and sound), which can make it seem like energy is "lost." - Thus, while energy is conserved overall, the form of energy changes. Therefore, the statement that energy spent against friction does not follow conservation is misleading. - **Conclusion**: The reason is also **incorrect**. 3. **Final Conclusion**: - Since both the assertion and the reason are incorrect, the correct answer is that both statements are false.
To solve the given question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that in an elastic collision of two billiard balls, the total kinetic energy is conserved during the short time of oscillation when the balls are in contact. - In an elastic collision, both momentum and kinetic energy are conserved. However, during the brief moment of contact, the balls may deform, and some kinetic energy is converted into potential energy due to this deformation. Therefore, the total kinetic energy is not conserved at that instant. - **Conclusion**: The assertion is **incorrect**. ...
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