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
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