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If the equation of transverse wave is y...

If the equation of transverse wave is `y=5 sin 2 pi [(t)/(0.04)-(x)/(40)]`, where distance is in cm and time in second, then the wavelength of the wave is

A

60 cm

B

40 cm

C

35 cm

D

25 cm

Text Solution

Verified by Experts

The correct Answer is:
B

Standard transverse equation of wave is
`y=a sin 2 pi (t/T-x/lambda)` ...(i)
Given equation is, `y=5 sin 2 pi (t/0.04-x/40)` ...(ii)
Comparing the given Eqs. (i) and (ii), we get
`x/lambda=x/40`
`implies lambda =40 cm`
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