- Exam
- JEE Main
- Year
- 2023
- Date
- 24 January
- Shift
- Evening Shift
- Subject
- Physics
- Chapter
- Gravitation
JEE Main 2023 · 24 January · Evening Shift · Physics · Gravitation
Given below are two statements: one is labelled as Assertion A and...
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
Options
- ABoth and are correct and is the correct explanation of
- BBoth and are correct but is not the correct explanation of
- C is correct but is not correct
- D is not correct but is correct
Correct answer
D. is not correct but is correct
Step-by-step solution
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 {g}^{'} = g\left(1 - \dfrac{h}{R}\right)g is less at Mount Everest than its value on the surface of earth.
Hence, assertion is wrong, but reason is correct.