A pendulum clock is taken to a high altitude. Will it gain or lose time?

Explanation

To determine whether a pendulum clock will gain or lose time when taken to a high altitude, we can analyze the effect of altitude on the gravitational acceleration (g) and the time period of the pendulum.

### Step-by-Step Solution:

1. **Understanding the Effect of Altitude on Gravitational Acceleration (g)**:
- As we ascend to higher altitudes, the gravitational acceleration (g) decreases. This is due to the fact that gravitational force diminishes with distance from the Earth's center.

2. **Time Period of a Pendulum**:
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