Questions
Two uniform strings A and B made of steel are made to vibrate under the same tension. if the first overtone of A is equal to the second overtone of B and if the radius of A is twice that of B, the ratio of the lengths of the strings is
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Correct option is B
First overtone of string A = Second overtone of string B.⇒Second harmonic of A = Third harmonic of B⇒n2=n3⇒2(n1)A=3(n1)B (∵n1=12lTπr2ρ)⇒2 12lArATπρ=3 12lBrBTπρ lAlB=23rBrA⇒lAlB=23×rB(2rB)=13Similar Questions
A wire having a linear density of 5 g/m is stretched between two rigid supports with a tension of 450 N. It is observed that the wire resonates at a frequency of 420 Hz. The next highest frequency at which the same wire resonates is 490 Hz. Find the length of the wire. (in m)
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