Question

The moon has no atmosphere, and acceleration due to gravity at its surface is one-sixth of that at earth's surface. When a pendulum is taken from the earth to the moon, its time period will:

• A. increase
• B. decrease
• C. unaffected
• D. infinity

Answer 1

The correct option is A

increase

Explanation to Correct Option:

Correct Option (A):

1. The time period is inversely proportional to the gravitational pull or 'g.'
2. When a simple pendulum is taken to the moon from the earth, its pull decreases.
3. This will lead to an increase in the time period.
4. The value of 'g' on the moon is 1/6 of what it is on the Earth's surface.
5. As g decreases with the height time period of the pendulum will increase and vice versa.

$$\begin{gathered} T\alpha \frac{1}{\sqrt{g}} \\ where,g=accelerationduetogravity \\ valueofg=9.8m/s^2 \end{gathered}$$

Hence, option (A) is the correct answer.