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Radhika Batra Grade: 11
        The equation of a wave travelling on a string stretched along the X-axis is given by 

Y = A e^(-(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? At t = 2T?
3 years ago

Answers : (1)

Navjyot Kalra
askIITians Faculty
654 Points
										Sol . Given y = Ae-[(x / a)+(t / T)]^2

a) [A] = [M0L1T0], [T] = [M0L0T1]
[a] = [M0L1T0]
b) Wave speed, v = λ/T = a/T [Wave length λ = a]
c) If y = f(t – x/v) → wave is traveling in positive direction
and if y = f( t + x/v) → wave is traveling in negative direction
so, Y = Ae-[(x / a)+(t / T)]^2 = Ae-(1/T)[x/a/T +t]^2
= Ae-(1/T)[x/a/T +t]^2
i.e. y = f{t + (x / v)}
3 years ago
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