Oscillations - Result Question 52

56. The time period of a simple pendulum is 2 seconds. If its length is increased by 4-times, then its period becomes

(a) $16 s$

(b) $12 s$

(c) $8 s$

(d) $4 s$

[1999]

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Answer:

Correct Answer: 56. (d)

Solution:

(d) $T=2 \pi \sqrt{\frac{\ell}{g}} \quad T \propto \sqrt{\ell}$

If $\ell$ is increased by 4 times, time period will increase by two times.



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