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
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.A is correct but R is not correct
- B.Both A and R are correct but R is NOT the correct explanation of A
- C.A is not correct but R is correct
- D.Both A and R are correct and R is the correct explanation of A
Show answer and solution
Correct option: C
Solution
The time period of a pendulum is T = 2π√(L/g). At Mount Everest, g is less than at Earth's surface, so T increases — meaning the pendulum takes longer per oscillation and the clock runs slow, not fast. So Assertion A is incorrect. However, Reason R is correct: g is indeed smaller at greater altitude (farther from Earth's center). Hence A is wrong but R is right.
[JEE Main 2023 · 24 Jan · Shift 2]