Two exactly identical pendulums are executing SHMs with amplitudes a and na respectively. Calculate the ratio of their energies of oscillation.

Explanation

To solve the problem of finding the ratio of energies of oscillation for two identical pendulums executing simple harmonic motion (SHM) with amplitudes \( A \) and \( nA \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Energy Formula**:
The energy of a simple harmonic oscillator is given by the formula:
\[
E = \frac{1}{2} m \omega^2 A^2
...