NEET Physics Question - Oscillation - Angular SHM and Simple Pendulum

Assertion (A): If a pendulum clock is taken to a mountain top, its time period decreases.

Reason (R): Value of acceleration due to gravity is more at heights.

Both (A) & (R) are true and the (R) is the correct explanation of the (A)

Both (A) & (R) are true but the (R) is not the correct explanation of the (A)

(A) is true but (R) is false

Both (A) and (R) are false

Solution:

The time period of a simple pendulum is \(T = 2\pi \sqrt{L/g}\). At a mountain top, the altitude increases, causing the acceleration due to gravity \(g\) to decrease. A decrease in \(g\) leads to an increase in \(T\). Thus, Assertion (A) is false. Reason (R) is also false as \(g\) decreases, not increases, at higher altitudes.

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Pendulum clock on mountain top

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