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Physics-

General

Easy

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 $0.0075 blank m to the power of 3 end exponent.$ The fundamental frequency of the wire is 260 Hz If the suspended mass is completely submerged in water, the fundamental frequency will become (take $g equals 10 blank m s to the power of negative 2 end exponent$ )

240 Hz
230 Hz
220 Hz
200 Hz

The correct answer is: 240 Hz

$n equals fraction numerator rho over denominator 2 l end fraction square root of fraction numerator T over denominator m end fraction end root proportional to square root of T rightwards double arrow fraction numerator n subscript 1 end subscript over denominator n subscript 2 end subscript end fraction equals square root of fraction numerator T subscript 1 end subscript over denominator T subscript 2 end subscript end fraction end root$
$rightwards double arrow fraction numerator 260 over denominator n subscript 2 end subscript end fraction equals square root of fraction numerator 50.7 g over denominator left parenthesis 50.7 minus 0.0075 cross times 10 to the power of 3 end exponent right parenthesis g end fraction end root rightwards double arrow n subscript 2 end subscript equals 240$

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