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If the metal bob of a simple pendulum is...

If the metal bob of a simple pendulum is replaced by a wooden bob, then its time period will

A

increase

B

decrease

C

remain the same

D

may increase or decrease

Text Solution

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The correct Answer is:
To solve the question, we need to analyze how the replacement of the metal bob with a wooden bob affects the time period of a simple pendulum. ### Step-by-Step Solution: 1. **Understand the Formula for Time Period**: The time period \( T \) of a simple pendulum is given by the formula: \[ T = 2\pi \sqrt{\frac{L}{g}} \] where: - \( T \) is the time period, - \( L \) is the length of the pendulum, - \( g \) is the acceleration due to gravity. 2. **Identify Variables**: In the formula, we can see that the time period \( T \) depends on the length \( L \) of the pendulum and the acceleration due to gravity \( g \). 3. **Consider the Effect of Mass**: The mass of the bob (whether it is metal or wooden) does not appear in the formula for the time period. This means that the time period is independent of the mass of the bob. 4. **Conclusion**: Since the time period does not depend on the mass of the bob, replacing the metal bob with a wooden bob will not affect the time period of the pendulum. Therefore, the time period will remain the same. ### Final Answer: The time period will remain the same. ---
To solve the question, we need to analyze how the replacement of the metal bob with a wooden bob affects the time period of a simple pendulum. ### Step-by-Step Solution: 1. **Understand the Formula for Time Period**: The time period \( T \) of a simple pendulum is given by the formula: \[ T = 2\pi \sqrt{\frac{L}{g}} ...
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