If the length of a stretched string is shortened by 40% and the tension is increased by 44%, then the ratio of the final and initial fundamental frequencies is

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2 : 1

3 : 2

3 : 4

1 : 3

answer is A.

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Detailed Solution

Fundamental frequency in case of string is n=12lTm⇒n∝Tl⇒n'n=T'T×ll'putting T'=T+0.44T=144100T and l'=l−0.4l=35l We get n'n=21

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