A wire stretched between two rigid supports vibrates in its fundamental mode with a frequency of 45Hz. The mass of the wire is `3.5xx10^(-2)`kg and its linear mass density is `4.0xx10^(-2)kgm^(-1)`. What is (a) the speed of a transverse wave on the string , and (b) the tension in the string?

Explanation

To solve the problem step by step, we will break it down into two parts: (a) finding the speed of the transverse wave on the string, and (b) calculating the tension in the string.

### Part (a): Finding the Speed of the Transverse Wave

1. **Identify the given values:**
- Frequency (ν) = 45 Hz
- Mass of the wire (M) = \(3.5 \times 10^{-2}\) kg
- Linear mass density (μ) = \(4.0 \times 10^{-2}\) kg/m
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