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Equation of a plane progressive wave is ...

Equation of a plane progressive wave is given by `y=0.6 sin 2pi(t-(x)/(2)).` On reflection from a denser medium, its amplitude becomes `2//3` of the amplitude of the incident wave. The equation of the reflected wave is

A

`y=0.6sin2pi(t+x/2)`

B

`y=-0.4sin2pi(t+x/2)`

C

`y=0.4sin2pi(t+x/2)`

D

`y=-0.4sin2pi(t-x/2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Amplitude of reflected wave=`(2)/(3)xx0.6=0.4`
On reflection from a denser medius there is phase change of `pi`.
`therefore` Equation of reflected wave is
`y=0.4sin 2pi(t+(x)/(2)+pi)=-0.4sin 2pi(t+(x)/(2))`
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