JEE MAIN - Physics (2023 - 24th January Evening Shift - No. 6)

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : A pendulum clock when taken to Mount Everest becomes fast.

Reason R : The value of g (acceleration due to gravity) is less at Mount Everest than its value on the surface of earth.

In the light of the above statements, choose the most appropriate answer from the options given below

Both A and R are correct but R is NOT the correct explanation of A
A is correct but R is not correct
Both A and R are correct and R is the correct explanation of A
A is not correct but R is correct

Explanation

When we go on the Mount Everest the value of gravitational acceleration decreases $\left(g=\frac{g_{0}}{\left(1+\frac{h}{R_{e}}\right)^{2}}\right)$. Therefore, the time period of oscillation $\left(T=2 \pi \sqrt{\frac{I}{g}}\right)$ increases and the pendulum clock becomes slow thus the assertion is wrong but reason is correct.

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