A) 188.5 Hz
B) 178.2 Hz
C) 200.5 Hz
D) 770 Hz
Correct Answer: B
Solution :
Stress \[=Y\times \frac{1}{100}=2.2\times {{10}^{9}}\] \[V=\sqrt{\frac{T}{\mu }}=\sqrt{\frac{T}{\frac{M}{L}}}=\sqrt{\frac{\frac{T}{{{L}^{2}}}}{\frac{M}{{{L}^{3}}}}}=\sqrt{\frac{stress}{density}}\] \[=\sqrt{\frac{2.2\times {{10}^{9}}}{7.7\times {{10}^{3}}}}=\sqrt{\frac{2}{7}}\times {{10}^{3}}\] \[V=\frac{V}{2\ell }=\sqrt{\frac{2\times {{10}^{3}}}{72\times 1.5}}-=178.2\,Hz\]You need to login to perform this action.
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