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

Options

A. `y= 0.6 sin 2pi(t+x/2).`
B. `y= -0.6 sin 2pi(t+x/2).`
C. `y= 0.4 sin 2pi(t+x/2).`
D. `y= -0.4 sin 2pi(t-x/2).`

Answer

b

Explanation

On reflection from a denser medium, there is a phase
reversal of `180^(@)`
New amplitude `0.6`
`therefore` Equation of reflected wave is ltbegt `y= 0.6 sin 2pi [ t +x/2 +180^(@)]=-0.6 sin 2pi (t+x//2)`