The fundamental frequency of sonometer wire increases by 9 Hz, if its tension is increased by 69% , keeping the length constant. The frequency of the…

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The fundamental frequency of sonometer wire increases by 9 Hz, if its tension is increased by 69% , keeping the length constant. The frequency of the wire is

MARKS Content Team · Accepted Answer

Correct answer: (C) 30 Hz. We know that, frequency of vibration of a stretched string is given by v=1/2l√Tm where, T = tension in string m = mass /length and l = length of string. New frequency, v^(')=v+9=1/2l√(T+69/100Tm) ⇒v/(v^('))=√T169100T⇒v/(v+9)=√100169=10/13 ⇒13v=10v+90 v=30Hz

The fundamental frequency of sonometer wire increases by 9 Hz, if its tension is increased by $69 %$ , keeping the length constant. The frequency of the wire is

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