Question 68 of 223
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion : A pendulum clock when taken to Mount Everest becomes fast.
Reason : 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
Show answer and solution
Answer: (D) is not correct but is correct
Time period of a pendulum is given by , where is the length of the pendulum and is the acceleration due to gravity.
As, , so the time period of vibration of the pendulum clock increases i.e. it starts taking more time to complete each vibration. Therefore, the pendulum clock becomes slow.
The acceleration due to gravity decreases with height above the surface as:
Thus, value of is less at Mount Everest than its value on the surface of earth.
Hence, assertion is wrong, but reason is correct.
As, , so the time period of vibration of the pendulum clock increases i.e. it starts taking more time to complete each vibration. Therefore, the pendulum clock becomes slow.
The acceleration due to gravity decreases with height above the surface as:
Thus, value of is less at Mount Everest than its value on the surface of earth.
Hence, assertion is wrong, but reason is correct.
