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Grade: upto college level
        A wave pulse is travelling on a string with a speed v towards the positive X-axis. The shape of the string at t = 0 is given by g(x) = A sin(x/a), where A and a are constants. 

(a) What are the dimensions of A and a? (b) Write the equations of the wave for a general time t, if the wave speed is v.
5 years ago

Answers : (1)

Jitender Pal
askIITians Faculty
365 Points
							Sol. At t = 0, g(x) = A sin (x/a)
a) [M0L1T0] = [L]
a = [M0L1T0] = [L]
b) Wave speed = v
∴ Time period, T = a/v (a = wave length = λ)
∴ General equation of wave
y = A sin {(x/a) – t/(a/v)}
= A sin {(x – vt) / a}

						
5 years ago
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