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The equation of a wave traveling on a string stretched along the X-axis is given by Y = Ae  a T  (a) write the dimensions of A, a and T (b) find the wave speed (c) in which direction is the wave traveling. (d) where is the maximum of the pulse located at t = T? At t = 2T?

The equation of a wave traveling on a string stretched along the X-axis is given by Y = Ae  a T 
(a) write the dimensions of A, a and T
(b) find the wave speed
(c) in which direction is the wave traveling.
(d) where is the maximum of the pulse located at t = T? At t = 2T?

Grade:12

1 Answers

Arun
25763 Points
3 years ago
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)} 

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