First slide

Introduction-Wave optics

Question

A point source of light is placed at origin, in air. The equation of wave front of the wave at time t, emitted by source at t = 0, is (take refractive index of air as 1)

Moderate

A

$x + y + z = c t$
B

$x^{2} + y^{2} + z^{2} = t^{2}$
C

$x y + y z + z x = c^{2} t^{2}$
D

$x^{2} + y^{2} + z^{2} = c^{2} t^{2}$

Solution

Wave fronts are spherical in shape of radius ct.
Equation of sphere
$x^{2} + y^{2} + z^{2} = r^{2}$
Put r = ct
$\Rightarrow x^{2} + y^{2} + z^{2} = c^{2} t^{2}$

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