Question

In a sonometer wire, the tension is maintained by suspending a 50.7 kg mass from the free end of the wire. The suspended mass has a volume of $0.0075m^3$. The fundamental frequency of the wire is 260 Hz. If the suspended mass is completely submerged in water, the fundamental frequency will become

• A. 200 Hz
• B. 220 Hz
• C. 230 Hz
• D. 240 Hz

Answer 1

The correct option is D

240 Hz

$\rho =\frac{50.7}{0.0075}=6760kg/m^3$

$m^{\prime }=m(1-\frac{\sigma }{\rho })$

$\frac{m^{\prime }}{m}=0.852$

$\frac{f^{\prime }}{f}=\sqrt{\frac{m^{\prime }}{m}}$

$\therefore f^{\prime }=240Hz$