Will a pendulum clock lose or gain time when taken to the top of a mountain?

Explanation

To determine whether a pendulum clock will lose or gain time when taken to the top of a mountain, we can analyze the relationship between the time period of the pendulum and the acceleration due to gravity (G).

### Step-by-Step Solution:

1. **Understand the Time Period of a Pendulum**:
The time period (T) of a simple pendulum is given by the formula:
\[
T = 2\pi \sqrt{\frac{L}{g}}
...