Navjyot Kalra
Last Activity: 11 Years ago
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)}