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Q.

A 100 Hz sinusoidal wave is travelling in the positive x-direction along a string with a linear mass density of 3.5×103kgm1 and a tension of 35N. At time t=0, the point x=0 has zero displacement and the slope of the string is π20. Then select the wrong alternative.

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a

angular frequency is  (200π)rad/s

b

propagation constant is  (4π)m1

c

velocity of wave is 100m/s

d

Amplitude of wave is 0.025m

answer is D.

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Detailed Solution

 v=Tμ=353.5×103=100m/s,λ=vf=1m k=2πλ=(2π)m1
 And  ω=v×k=(200π)rad/s
At x=0,  vp=maximum
Particle velocity = wave velocity  slope
 A=slope×wavevelocityω =(π20)×(100)20π=0.025m
 
 

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