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

Equation of a plane progressive wave is given by y = 0.6 \sin 2\pi\left ( t-\frac{x}{2} \right ). On reflection from a denser medium, its amplitude becomes \frac{2}{3} of the amplitude of the incident wave

a) y = 0.6 \sin 2\pi\left ( t+\frac{x}{2} \right )

b) y = -0.4 \sin 2\pi\left ( t+\frac{x}{2} \right )

c) y = 0.4 \sin 2\pi\left ( t+\frac{x}{2} \right )

d) y = -0.4 \sin 2\pi\left ( t-\frac{x}{2} \right )

Answers (1)

The answer is the option b)

y = -0.4 \sin 2\pi\left ( t+\frac{x}{2} \right )

After reflection of wave changes by phase 180^{\circ}

 y_{r}=\left (\frac{2}{3}\times 0.6 \right )\sin2\pi \left [\pi +t+\frac{x}{2} \right ]

y_{r} = -0.4 \sin 2\pi\left ( t+\frac{x}{2} \right )

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