A pendulum clock having copper rod keeos correct time at `20^0 C`. It gains 15 seconds per day if cooled to `0^@C`. Calculate the coefficient of linear expansion of copper.

Explanation

To solve the problem, we need to find the coefficient of linear expansion (α) of copper using the information provided about the pendulum clock. Here’s a step-by-step solution:

### Step 1: Understand the relationship between time period and length
The time period (T) of a pendulum is given by the formula:
\[ T = 2\pi \sqrt{\frac{L}{g}} \]
where:
- \( T \) = time period
- \( L \) = length of the pendulum
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