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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: waves
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joyfrancis (1504)

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Q) The amplitude of a wave disturbance propagating in the positive x direction is given by y=1/1+x2 at t=0 and y=1/2-2x+x2 at t=1 sec. where x and y are in meters . Find the velocity of wave propagation.
 

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rajat (284)

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hey is the answer 1m/s ??
if it correct i'll tell u my method

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joyfrancis (1504)

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yeah 1 is right. How did you get it?

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rajat (284)

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ok . it goes like this .
you can easily see that
 
y = 1/[ (x-t) + 1]^1/2  = f (x - t).....................1
 
now we know that  waves (travelling waves) are always in the form
 
y = f (x/v  - t).................................2
comparing 1 with 2 we get v = 1
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wherever light goes it always finds that darkness has already got there
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