Question

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.
Reason (R): Time period of a simple pendulum decreases with increasing value of acceleration due to gravity and vice-versa. In the light of the above statements, choose the most appropriate answer from the options given below:

• A. Both (A) and (R) are true but (R) is not the correct explanation of (A)
• B. (A) is false but (R) is true
• C. Both (A) and (R) are true and (R) is the correct explanation of (A)
• D. (A) is true but (R) is false

Hint:

The time period of a simple pendulum is inversely related to the square root of the acceleration due to gravity.

Answer 1

The Correct Option is A

Assertion (A): The time period of a simple pendulum increases with altitude because the acceleration due to gravity decreases as we move higher up from the Earth’s surface.
Reason (R): The time period of a simple pendulum is directly proportional to the inverse square root of gravity, but the relationship described in (R) is incorrect. An increase in the value of gravity will decrease the time period, not the other way around.