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A wave pulse is travelling on a string w...

A wave pulse is travelling on a string with a speed v towards the positive X-axis. The shape of the string at t = 0 is given by `g(x) = A sin(x /a)`, where A and a are constants. (a) What are the dimensions of A and a ? (b) Write the equation of the wave for a general time 1, if the wave speed is v.

Text Solution

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The correct Answer is:
A, B
(a) Diamensions of `A and Y` are same. Similarly, diamensions of `a and x` are same.
(b) As the wave is travelling towards positive x-axis, there should be negative sign between term of `x` and term of `t`.
Further, speed of wave
`v=("Coefficient of t")/("Coefficient of x")`
`:.` Coefficient of `t = (v) xx` coefficient of `x`
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