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Q.

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) 

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a

x2+y2+z2=c2t2

b

x+y+z=ct

c

xy+yz+zx=c2t2

d

x2+y2+z2=t2

answer is D.

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Detailed Solution

Wave fronts are spherical in shape of radius ct.

Equation of sphere 

x2+y2+z2=r2

Put r = ct

⇒x2+y2+z2=c2t2

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