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 (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
Assertion A: A pendulum clock when taken to Mount Everest becomes fast.
Reason R: The value of (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 and are correct but is NOT the correct explanation of
- (B)Both and are correct and is the correct explanation of
- (C) is not correct but is correct✓ Correct
- (D) is correct but is not correct
Answer: (C)
Solution
The time period of a pendulum clock is , so the period lengthens as falls. On Mount Everest the distance from the earth's centre is larger and is indeed smaller, which makes the reason true. A smaller , however, increases the period, so the pendulum swings more slowly and the clock runs slow rather than fast. Thus the assertion is not correct while the reason is correct.
JEE Main · 2023 · 24 Jan 2023 · Shift 2 · Single correct option