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If at t = 0, a travelling wave pulse on ...

If at `t = 0`, a travelling wave pulse on a string is described by the function.
`y = (6)/(x^(2) + 3)`
What will be the waves function representing the pulse at time `t`, if the pulse is propagating along positive x-axis with speed `4m//s`?

A

`y=(6)/(x+4t)^(2) +3`

B

`y=(6)/(x - 4t)^(2) +3`

C

`y =(6)/(x - t)^(2)`

D

`y =(6)/(x - t)^(2)+12`

Text Solution

Verified by Experts

The correct Answer is:
B
The wave pulse is travelling along positive x-axis. Hence, at and bx should have opposite signs. Further, wave speed
`v = ("Coefficient of t")/("Coefficient of x")`
`:. 4 = ("Coefficient of t")/(1)`
`:. "Coefficient of" `t = 4 s^(-1)`
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