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Q.

The wavefront of a light beam is given by the equation x + 2y + 3z = c (where c is arbitrary constant), then the angle made by the direction of light with the y-axis is

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a

cos−1114

b

sin−1214

c

cos−1214

d

sin−1314

answer is C.

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Detailed Solution

The wavefront equation must be ax+by+cz=1 where a2+b2+c2=1. Applying this we get 12+22+32=c2⇒c=14. So angle with the Y axis is Cos−1(214)
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