Question

A pendulum clock is running slow. In order to correct it, we should
a. reduce the amplitude of the oscillation.
b. increase the mass of the bob.
c. reduce the length of the pendulum.
d. take the pendulum at the equator to decrease the value of acceleration due to gravity.

• A. c
• B. a
• C. d
• D. b

Hint:

A slow clock has too long a time period, so the time period must be reduced.

Answer 1

The Correct Option is A

Step 1: Formula-first approach
$T\propto\sqrt{l}$ and $T\propto\dfrac{1}{\sqrt{g}}$.

Step 2: Compare the statements
Only the length can lower $T$ here. Lower g gives larger $T$, and amplitude or bob mass have no effect.

Step 3: Match the option
Statement c is listed as option A.

Final Answer:
The clock is corrected by reducing the length of the pendulum. \[ \boxed{\text{(A) }\text{c}} \]