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Q.

A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is y=0.3sin0.157xcos200πt . The length of the string is

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a

20 m

b

80 m

c

60 m

d

40 m

answer is B.

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Detailed Solution

In case of 4th harmonic l=4λ2 ⇒2λ=l Put λ = 2πk ⇒4πk = l ⇒l = 4π0.157=80m
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A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is y=0.3sin0.157xcos200πt . The length of the string is