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 density is `4xx10^(-2)` kg`//`m . What is the speed of transverse wave on string and tension in the wire?

Explanation

To solve the problem step by step, we will first find the length of the wire, then calculate the tension in the wire, and finally determine the speed of the transverse wave on the string.

### Step 1: Calculate the Length of the Wire
We know that the linear density (μ) is defined as the mass (m) of the wire divided by its length (L):
\[ \mu = \frac{m}{L} \]
From this, we can rearrange the formula to find the length:
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