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  • For the transverse wave equation, , choose the correct option at t= 0<di

For the transverse wave equation, Y= A sin\; (\pi x+\pi t), choose the correct option at t= 0

Option: 1

Points at x=0 and x=1 are at mean positions


Option: 2

Points at x=0.5 and x=1.5 have max acc


Option: 3

Points at x=0.5 and x=1.5 are at rest


Option: 4

The given wave is travelling is negative x- direction


Answers (1)

best_answer

Y=A sin\; (\pi x+\pi t)

V_{p}=\frac{\partial Y}{\partial t} = \pi A cos (\pi x +\pi t)

a_{p}=\frac{\partial^{2} Y}{\partial t^{2}} = -\pi^{2} A sin (\pi x +\pi t)

Now, substitute   t=0 and given value of x.

Since,  \omega t and Kx are of same sign , hence the wave is travelling in negative x- direction.

Therefore all options are correct.

Posted by

Rakesh

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