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The transverse displacement y(x, t) of a...

The transverse displacement `y(x, t)` of a wave on a string is given by `y(x, t)= e ^(-(ax^(2) + bt^(2) + 2sqrt((ab))xt)`. This represents a :

A

standing wave of frequency `(1//sqrt(b))`

B

wave moving in `+X` direction with speed `(sqrt(a//b))`

C

wave moving in `-X` direction with speed `(sqrt(b//a))`

D

standing wave of frequency `(sqrt(b))`

Text Solution

Verified by Experts

The correct Answer is:
C
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