Q.

The transverse sinusoidal wave of amplitude a, wavelength λ and frequency f is travelling on a stretched string. The maximum speed of any point on the string is v/10, where v is the speed of propagation of the wave. If a=10-3 m and v=10 ms-1, then λ and f are given by

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a

λ=2π×10-2 m

b

λ=10-3 m

c

f=1032π Hz

d

f=104 Hz

answer is A, C.

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Detailed Solution

            ωa=v10=1010=1               ω=1a=110-3=103 rad/s or           f=ω2π=1032πhz. Also       λ=vf=101032π m=2π×10-2 m.

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