The amplitude of a simple harmonic oscillation is doubled. How does this affect
(i) periodic time (ii) maximum velocity (iii) maximum acceleration and
(iv) maximum energy

Explanation

To solve the problem, we will analyze how doubling the amplitude of a simple harmonic oscillator affects the various parameters: periodic time, maximum velocity, maximum acceleration, and maximum energy.

### Step-by-Step Solution:

1. **Periodic Time (T)**:
- The formula for the periodic time \( T \) of a simple harmonic oscillator is given by:
\[
T = 2\pi \sqrt{\frac{m}{k}}
...