A) 188.5 Hz
B) 178.2 Hz
C) 200.5 Hz
D) 770 Hz
Correct Answer: B
Solution :
[b] Fundamental frequency, \[f=\frac{v}{2\ell }=\frac{1}{2\ell }\sqrt{\frac{T}{\mu }}=\frac{1}{2\ell }\sqrt{\frac{T}{A\rho }}\] \[\,\left[ \because v=\sqrt{\frac{T}{\mu }}\,and\,\mu =\frac{m}{\ell } \right]\] Also, \[Y=\frac{T\ell }{A\Delta \ell }\Rightarrow \frac{T}{A}=\frac{Y\Delta \ell }{\ell }\] \[\Rightarrow \,f=\frac{1}{2\ell }\sqrt{\frac{\gamma \Delta \ell }{\ell \rho }}\] ? (i) Putting the value of\[\ell ,\,\frac{\Delta \ell }{\ell }\],\[\rho \]and \[\gamma \] in \[e{{q}^{n}}\]. (i) we get, \[f=\sqrt{\frac{2}{7}}\times \frac{{{10}^{3}}}{3}\] or, \[f\approx 178.2Hz\]You need to login to perform this action.
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