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?
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Below are given the answers to the following questions.
Explanation:
(a) Write the dimensions of A, a and T.
A has the dimensions of y. xa and tT are dimensionless.
(b) Find the wave speed. ?
The wave speed formula is given below.
v = Coefficient of t / Coefficient of x
(c) In which direction is the wave travelling?
xa and tT are of same sign
(d) Where is the maximum of the pulse located at t =T and at t = 2T?
y(max) = A
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