Two mirrors of the same length are arranged as shown above, a ray of light NO strikes the system at O and emerges along PQ. The emergent ray has been deviated through

a

220 degrees

b

200 degrees

c

210 degrees

d

180 degrees

e

230 degrees

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Explanation

Correct Option
d

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Discussions (8)

Olamidasboss
3 years ago

In the given scenario, two mirrors are arranged in such a way that a ray of light NO strikes the system at point O and emerges along PQ. We are required to determine the deviation angle of the emergent ray.

First, let's consider the initial ray NO. As it strikes mirror OP, it undergoes reflection. According to the law of reflection, the angle of incidence is equal to the angle of reflection. Therefore, the angle of incidence of ray NO is 100°, and it is reflected by mirror OP at an angle of 100°.

Now, the reflected ray travels towards mirror PQ. When it strikes mirror PQ, it again undergoes reflection. This time, the angle of incidence is equal to the angle of reflection. The angle of incidence of the reflected ray is 100° (same as the angle of reflection from mirror OP).

The total deviation of the emergent ray is determined by the sum of the angles of incidence and reflection. Thus, the total deviation is 100° (angle of incidence from mirror OP) + 80° (angle of incidence from mirror PQ) = 180°.

Therefore, the emergent ray is deviated through an angle of 180°. Thus, the correct answer is option D.

Fynchem
6 years ago

Line OP deviates through an angle of 100 while emerging at PQ deviates through an angle of 80, total deviation from the incident ray is 180 emerging at PQ, this is sequel to line geometry according to alternate angles

Triple0
3 years ago

To get the 100 you have to use the formular
Angle of deviation=2×glancing angle

ridkidjoules
2 years ago

Line OP deviates through an angle of 100 while emerging at PQ deviates through an angle of 80, total deviation from the incident ray is 180 emerging at PQ, this is sequel to line geometry according to alternate angles thats it

Freda_abani
4 days ago

the AI says the answer is 210 but you guys are saying the answer is 180

EmB01
2 weeks ago

The angle of deviation of the emergent ray by two mirrors inclined at right angle (90⁰) to each other is ALWAYS 180⁰, regardless of the angle of incidence.

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