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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Time period of a simple pendulum is longer at the top of a mountain than that at the base of the mountain. [cite: 1, 5] Reason (R) : Time period of a simple pendulum decreases with increasing value of acceleration due to gravity and vice-versa. [cite: 1, 5] In the light of the above statements, choose the most appropriate answer from the options given below:

Solution & Explanation

### Related Formula T = 2pisqrtfraclg ### Core Logic As altitude h increases at the top of a mountain, acceleration due to gravity g drops down according to [cite: 634, 635]: g = fracg_0 R^2(R+h)^2 Since T propto frac1sqrtg, a decreased g directly makes the time period T longer[cite: 634, 635]. ### Pattern Recognition Higher altitude implies smaller gravity field implies slower pendulum oscillations implies longer period[cite: 634, 635]. ### Chapter Mix Class 11 Physics: Oscillations Class 11 Physics: Gravitation

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