Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a string having a linear mass density equal to `4.00xx10^-2 kg//m`.If the source can deliver a average power of 90 W and the string is under a tension of 100 N, then the highest frequency at which the source can operate is (take `pi^2=10`):

Options

A. 45.3 Hz
B. 50 Hz
C. 30 Hz
D. 62.3 Hz

Explanation

To find the highest frequency at which the source can operate, we will use the formula for average power transmitted by a sinusoidal wave on a string. The formula is given by:

\[ P_{\text{avg}} = \frac{1}{2} \mu \omega^2 A^2 v \]

where:
- \( P_{\text{avg}} \) is the average power,
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