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A sonometer wire is under tension of 64N vibrating in its fundamental mode is in resonance with a vibrating tuning fork. The vibrating portion of the sonometer wire has a length of 10cm and mass 1g. The vibrating tuning fork is now moved away from vibrating wire at a constant speed and an observer standing near the sonometer hears one beat per sec. Calculate the speed with which the tuning fork is moved, if the speed of sound in air is 300m/s.

a
0.75m/s
b
0.5m/s
c
0.25m/s
d
0.2m/s

detailed solution

Correct option is A

f=12lTm=400Hzf1=fvv+uΔf=f−f1=fuv

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