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  • The displacement due to a wave moving in the positive x-direction is given by <img alt="y=\frac{1}{(1+x)^{2}}" src="https://entrancecorner.oncodecogs.com/gif.latex?y%3D%5Cfrac%7B1%7D%7B%281&am

The displacement due to a wave moving in the positive x-direction is given by y=\frac{1}{(1+x)^{2}} at time t=0  and by y=\frac{1}{[1+(1-x)^{2}]} at t=2s,  where x and y are in metre , and the velocity of the wave in m/s is - 

 

Option: 1

0.5


Option: 2

1


Option: 3

2


Option: 4

4


Answers (1)

best_answer

In a wave equation x and t must be related in the form (x\pm vt)

We write the equation, y=\frac{1}{1+(x-vt)^{2}}

for t=0,  it becomes, y=\frac{1}{1+(x^{2})}  As given 

for t= 2, it becomes, y=\frac{1}{1+(x - 2v)^{2}} = \frac{1}{1+(x-1)^{2}}

2v=1 or v= 0.5 m/s.

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SANGALDEEP SINGH

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