Question

Two plane mirrors are inclined to each other at an angle of 70o. A ray is incident on one mirror at an angle θ. The ray reflected from this mirror falls on the second mirror from where it is reflected parallel to the first mirror. What is the value of θ? 

Solution

Correct option is

50o

 

A ray AB is incident at an angle θ on mirror M1 and is reflected along BCas shown in fig. The ray makes and angle γ with the normal CN2 and is reflected along CD making an equal angle γ with the normal. Since CD is parallel to mirror OM1.    

               

It is clear from the diagram that 

                 

  

  

                   

SIMILAR QUESTIONS

Q1

What are the dimensions of luminous intensity?   

Q2

What is the luminous intensity of a lamp which produces an illuminance of 12 lux at a distance of 5.0 m from it?  

Q3

To print a photograph from a negative, the time of exposure to light from a lamp placed 60  cm away is 2.5 s. What exposure time is required if the lamp is placed 1.2 m away?

Q4

A lamp placed at a distance of 50.0 cm from a screen on one side produces the same illumination as a standard 60 cd candle placed 100 cm away on the other side of the screen. What is the luminous intensity of the lamp?

 

Q5

An observer moves towards a stationary plane mirror at a speed of 4 ms–1. With what speed will his image move towards him?  

Q6

Which mirror should be used to obtain a parallel beam of light from a small lamp?

Q7

Choose the only wrong statement from the following.

Q8

A short linear object of length L lies on the axis of a spherical mirror of focal length f at a distance u from the mirror. Its image has an axial lengthL’ equal to

Q9

Two plane mirrors are placed at right angles to each other. A ray strikes one mirror at an angle of incidence θ such that it is also reflected from the second mirror. Then, the ray reflected from the second mirror will be 

Q10

One end of a strip of a plane mirror 2.5 cm in length, is fixed. The other end rests on the top of a small vertical rod. A beam of light is reflected from the mirror and forms a spot on a screen 3 m away from the mirror. If the top of the rod is moved upwards 0.1 mm, what will be the movement of the spot?