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Q.

The length of the string of a musical instrument is 90 cm and has a fundamental frequency of 120 Hz. Where should it be pressed to produce fundamental frequency of 180 Hz?

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a

80 cm

b

75 cm

c

60 cm

d

45 cm

answer is C.

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Detailed Solution

Frequency of stretched stringn=12ℓTmIf T and m are constantn∝1ℓn′n=ℓℓ′180120=90ℓ′ℓ′=60cm

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The length of the string of a musical instrument is 90 cm and has a fundamental frequency of 120 Hz. Where should it be pressed to produce fundamental frequency of 180 Hz?