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Q.

The speed of a wave on a string is 150 m/s when the tension is 120 N. The percentage increase in the tension in order to raise the wave speed by 20% is ____ percentage

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answer is 44.

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Detailed Solution

V=Tm   ⇒  T∝V2     T'T=(V'V)2=(1.2VV)2=1.44

The % increase in tension is given by

T'−TT×100=(T'T−1)×100

% increase in length  =44%

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The speed of a wave on a string is 150 m/s when the tension is 120 N. The percentage increase in the tension in order to raise the wave speed by 20% is ____ percentage