MHT CET · Physics · Oscillations
A pendulum clock is running slow. To correct its time, we should
- A reduce the amplitude of oscillation.
- B increase the length of the pendulum.
- C reduce the length of the pendulum.
- D reduce the mass of the bob.
Answer & Solution
Correct Answer
(C) reduce the length of the pendulum.
Step-by-step Solution
Detailed explanation
The period of a simple pendulum is given by
\(\begin{aligned}
& T=2 \pi \sqrt{\frac{L}{g}} \\
& \therefore T \propto \sqrt{L}
\end{aligned}\)
If the clock is running slow, that means time period is larger as compared to the correct value. So, by reducing the length of the pendulum the time period can be shortened to get the correct value.
\(\begin{aligned}
& T=2 \pi \sqrt{\frac{L}{g}} \\
& \therefore T \propto \sqrt{L}
\end{aligned}\)
If the clock is running slow, that means time period is larger as compared to the correct value. So, by reducing the length of the pendulum the time period can be shortened to get the correct value.
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