A steel wire has a mass of `50 g//m` and is under tension 450N.
(a) Find the maximum average power that can be carried by the transverse wave in the wire if the amplitude not to exceed 20% of the wavelength. (b) The change in maximum average power if the mass per unit length of the wire is doubled. `(Use pi^(2)~=10.)`

Explanation

To solve the problem, we will break it down into two parts as specified in the question.

### Part (a): Find the maximum average power carried by the transverse wave in the wire.

1. **Identify the given values:**
- Mass per unit length, \( \mu = 50 \, \text{g/m} = 0.05 \, \text{kg/m} \)
- Tension, \( T = 450 \, \text{N} \)
- Amplitude, \( A \) is limited to \( 20\% \) of the wavelength \( \lambda \).
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