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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: question on waves: at t = 0, y = 1/(1 + x^2) and at t = 2, y = 1/(1 + (x - 1)^2) vel = ?
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Greatdreams (3220)

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Olaaa!! Perrrfect answer. 612  [692 rates]

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For a equation to represent a wave,

y ( x,t ) = f (ax bt )

at t = 0 , y = 1/1+x2

at t = 2 , y = 1/1+(x-1)2

the wave is of the form : y = a/[ b + (x-vt)2 ]

So if you compare the equations ,

we get v t = 1 ,  so t = 2, hence velocity = 0.5 m/s  in +ve

direction

I was myself confused with this thing till i finally got this

general term in Arihant obj physics book.

Check the attached file you will see that the pulse moves

in the positive direction.







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