1.

In a sono meter 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 0.0075 m3. 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»

Correct Answer is: (d) 240 Hz

Initially, 260 = T1/m, T1 = 50.7 g = 507 N.

When the mass is submerged, upthrust 

= (0.0075 m3 )(103 kg/m3)(10 m/s2)

= 75 N.

New tension = T2 = (507 - 75) N = 432 N.

n = 1/2l T2/m

or n/260 = T2/T1√432/507 = √144/169 =12/13 

or n = 240 Hz.



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