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Wave Optics

Question

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Two waves y₁ = A₁ sin (ωt - β₁) and y₂ = A₂ sin (ωt - β₂) superimpose to form a resultant wave whose amplitude is
$\sqrt{A_{1}^{2} + A_{2}^{2} + 2 A_{1} A_{2} \cos (β_{1} - β_{2})}$
$\sqrt{A_{1}^{2} + A_{2}^{2} + 2 A_{1} A_{2} \sin (β_{1} - β_{2})}$
$A_{1} + A_{2}$
$|A_{1} + A_{2}|$

Solution

A.

\sqrt{A_{1}^{2} + A_{2}^{2} + 2 A_{1} A_{2} \cos (β_{1} - β_{2})}

Some More Questions From Wave Optics Chapter

What is the shape of the wavefront in each of the following cases:
Light diverging from a point source.

What is the shape of the wavefront in each of the following cases:
Light emerging out of a convex lens when a point source is placed at its focus.

What is the shape of the wavefront in each of the following cases:
The portion of the wavefront of light from a distant star intercepted by the Earth.

Is the speed of light in glass independent of the colour of light? If not, which of the two colours red and violet travels slower in a glass prism?

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