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The equation of a wave travelling on a s...

The equation of a wave travelling on a string stretched along the X-axis is given by
`y=Ae^(((-x)/(a) + (t)/(T))^(2)`
(a) Write the dimensions of A, a and T.
(b) Find the wave speed.
(c) In which direction is the wave travelling?
(d) Where is the maximum of the pulse located at `t =T` and at `t = 2T`?

Text Solution

Verified by Experts

(a) A has the dimensions of `y`.
`(x)/(a)` and `(t)/(T)` are dimensionless.
(b) `v = ("Coefficient of t")/("Coefficient of x")`
(c) `(x)/(a)` and `(t)/(T)` are of same sign
(d) `y_(max) = A`
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