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A string is clamped at both the ends and...

A string is clamped at both the ends and it is vibrating in its `4^(th)` harmonic. The equation of the stationary wave is `Y=0.3 sin(0.157x) cos(200pi t)`. The length of the string is : (All quantities are in SI units.)

A

60m

B

20m

C

80m

D

40m

Text Solution

Verified by Experts

The correct Answer is:
C
Clearly `(2x)/(lambda) = 0.157` `therefore lambda = 40m`
Hence for 4th harmonic, `1 = 4 xx (lambda)/(2) = 80m`
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