A) cannot equal compared
B) is equal to T
C) is less than T
D) is more than T
Correct Answer: D
Solution :
The time period (T) of a simple pendulum of length I and acceleration due to gravity g is given by: \[T=2\pi \sqrt{\frac{l}{g}}\] \[\Rightarrow \] \[T\propto \frac{1}{\sqrt{g}}\] Suppose mine be at a depth h below the surface of earth of radius R, then, \[g'=g\left( 1-\frac{h}{R} \right)\]hence, g decreases. Hence, T increase.
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