Reflection by Plane Mirror

Practice Questions:

Question 1: difficult

A plane mirror is placed along the x-axis facing negative y-axis. The mirror is fixed. A point
object is moving with \[3\hat{i}+4\hat{j}\] in front of the plane mirror. The relative velocity of image with respect to its object is :

1. \[-8\hat{j}\]

2. \[8\hat{j}\]

3. \[3\hat{i}-4\hat{j}\]

4. \[-6\hat{j}\]

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Question 2: difficult

Two plane mirrors inclined to each other as shown. A ray after the three successive reflections falls on the mirror (M1) and finally retraces its path. Calculate the angle between the two plane mirror :

1. 15°

2. 25°

3. 30°

4. 60°

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Question 3: difficult

Two plane mirrors are parallel to each other and spaced 20 cm apart. An object is kept between them at 15 cm from A. Out of the following at which point, an image is not formed in mirror A: (distance measured from mirror A)

1. 15 cm

2. 25 cm

3. 45 cm

4. 55 cm

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Question 4: difficult

Two plane mirrors A and B are aligned parallel to each other, as shown in the figure. A light ray is incident at an angle of 30° at a point just inside one end of A. The plane of incidence coincides with the plane of the figure. The maximum number of times the ray undergoes reflections (including the first one) before it emerges out is :

1. 28

2. 30

3. 32

4. 34

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