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 calculating the ratio of the 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 Formula for Energy in SHM**:
The total energy \( E \) of a simple harmonic oscillator is given by the formula:
\[
E = \frac{1}{2} k A^2
...