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A pulse is propagating on a long stretch...

A pulse is propagating on a long stretched string along its length taken as positive x-axis. Shape of the string at t = 0 is given by ` y = sqrt(a^2 - x^2)`when `|x| lt= a = 0` when `|x| gt= a ` . What is the general equation of pulse after some time 't' , if it is travelling along positive x-direction with speed V?

A

`y(x,t) = sqrt(a^(2) -(x+Vt)^(2))`, when `|x|Vt| le a = x+ Vt` when `|x + Vt| ge a`

B

`y(x,t) = sqrt(a^(2) + (x-Vt)^(2))`, when `|x-Vt| le a =a`, when `|x + Vt| ge 0`

C

`y(x,t) = sqrt(a^(2) -(x-Vt)^(2))`, when `|x-Vt| le a=0`, when `|x-Vt| ge a`

D

`y(x,t) = sqrt(a^(2) + (x+Vt)^(2))`, when `|x + Vt| le a =a`, when `(x+Vt) ge a`

Text Solution

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The correct Answer is:
C
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