Question:
If the length of a pendulum is made 9 times and mass of bob is made 4 times, then the value of time period becomes
If the length of a pendulum is made 9 times and mass of bob is made 4 times, then the value of time period becomes
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Time period of simple pendulum depends only on length and g, not on mass or amplitude (for small angles).
Updated On: Apr 23, 2026
- 3T
- \(\frac{3}{2}T\)
- 4T
- 2T
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept:
Time period of simple pendulum: \(T = 2\pi\sqrt{\frac{l}{g}}\). Independent of mass.
Step 2: Detailed Explanation:
\(T \propto \sqrt{l}\). New length \(l' = 9l\).
\(T' = 2\pi\sqrt{\frac{9l}{g}} = 3 \times 2\pi\sqrt{\frac{l}{g}} = 3T\).
Mass does not affect time period.
Step 3: Final Answer:
Thus, new time period = 3T.
Time period of simple pendulum: \(T = 2\pi\sqrt{\frac{l}{g}}\). Independent of mass.
Step 2: Detailed Explanation:
\(T \propto \sqrt{l}\). New length \(l' = 9l\).
\(T' = 2\pi\sqrt{\frac{9l}{g}} = 3 \times 2\pi\sqrt{\frac{l}{g}} = 3T\).
Mass does not affect time period.
Step 3: Final Answer:
Thus, new time period = 3T.
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