Two mirrors are placed with an angle of alpha = 29 degree between them as shown

Question

Two mirrors are placed with an angle of alpha = 29 degree between them as shown in the figure. A beam of light is incident on the upper mirror with angle theta_j = 34 degree. Randomized Variables alpha = 29 degree theta_i = 34 Express the angle of reflection, theta_1, of the light from the upper mirror in terms of theta_i. theta_1 = 1 Express the angle, beta, between the reflected light and the upper mirror in terms of theta_i. The reflected light is then incident on the lower mirror at an angle theta_2. Express theta_2 in terms of the angle between the light and the lower mirror, v. Express v in terms of alpha and beta. Express theta 2 in terms of theta_i and alpha.

Explanation / Answer

A) theta_1 = theta_i = 34 degrees

B) beta = 90 - theta_i

C) theta_2 = 90-v

D) alpha+beta+90-theta_f = 180 degrees

theta_f = alpha+beta-90 = theta_2

180 = 90+theta_2+v = 90+alpha+beta-90+v

v = 180-alpha-beta

e) theta_2 = alpha+beta-90= alpha+180-(2*theta_i)-90= alpha +90 - (2*theta_i)

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