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Q.

The vibrations of a string of length 60 cm fixed at both ends are represented by y=4sinπx15cos90πt, where x and y are in cm and t is in second. Then velocity of component waves in the string is

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a

13.5 m/s

b

18.5 m/s

c

24.5 m/s

d

48.5 m/s

answer is A.

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Detailed Solution

Comparing the given equation with the equation of standing wave y=AsinKx.cosωt, we can write K=π15m−1 and ω=90π rad/s.∴V=ωK=90ππ/15cm/s=13.50 m/s

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