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A ray of light traveling in a direction 1 /2 (i^ + 3j^) is incident on a plane mirror. After reflection it travels along the direction of 1/2 (i^ - 3j^). Calculate the angle of incidence.

A ray of light traveling in a direction 1 /2 (i^ + 3j^) is incident on a plane mirror. After reflection it travels along the direction of 1/2 (i^ - 3j^). Calculate the angle of incidence.

Grade:11

1 Answers

sonika p
129 Points
3 years ago
by drawing the vectors we can see that, light ray gets reflected through x-axis
thus x-axis is the normal. 
incident ray,a = ½ (i+3j)
n = i
angle between them gives angle of incidence
cos theta = (a.n)/(|a||n|) = (1/2) / ((1/2*)root10)
cos theta = 1/root10 
theta = 79.50

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