Question

Given below are two statements:

• 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:

• A. Both A and R are correct but R is NOT the correct explanation of A
• B. Both A and R are correct and R is the correct explanation of A
• C. A is not correct but R is correct
• D. A is correct but R is not correct

Hint:

The time period of a pendulum increases as g decreases. At higher altitudes, pendulums run slower, not faster.

Answer 1

The Correct Option is C

The time period of a pendulum is given by:

\[ T \propto \sqrt{\frac{1}{g}} \]

At Mount Everest, \( g \) is less than on Earth’s surface. A decrease in \( g \) increases \( T \), making the pendulum slower, not faster. Thus:

• Assertion (A): is incorrect because the pendulum becomes slow, not fast.
• Reason (R): is correct, as \( g \) decreases at higher altitudes.

Answer 2

T∝\(\frac {1}{\sqrt g}\)
Time period of pendulum is inversely proportional to acceleration due to gravity.
So, the correct answer is (C): A is not correct but R is correct