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: Understanding the Concept
A clock running slow has a pendulum whose time period \(T=2\pi\sqrt{\dfrac{l}{g}}\) is too long, so \(T\) must be decreased.

Step 2: Check each step
Amplitude and mass of the bob do not affect \(T\) for small oscillations.
At the equator g is smaller, which makes \(T\) longer and the clock even slower.

Step 3: Result
Reducing the length decreases \(T\) and corrects the clock. This is statement c.

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