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When a plane mirror is rotated through a...

When a plane mirror is rotated through an angle ` theta` then the reflected ray turns through the angle `2 theta` then the size of the image

A

Is doubled

B

Is halved

C

Remins the same

D

Becomes infinite

Text Solution

Verified by Experts

The correct Answer is:
C
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Show that a ray of light reflected from a plane mirror rotates througha an angle 2theta when the mirror is rotated through an angle theta about its axis perpendicular to both the incident ray and the normal to the surface.

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Knowledge Check

  • When mirror is rotated through an angle theta , a reflected ray from it moves through an angle of

    A
    `0^(@)`
    B
    `theta^(@)`
    C
    `2 theta^(@)`
    D
    `3 theta^(@)`

  • When a mirror is rotated by a angle theta , the reflected ray will rotated by

    A
    `0^(@)`
    B
    `theta//2`
    C
    `theta`
    D
    `2 theta`

  • A small angled prism of apex angle A=4^@ and refractive index mu=1.5 is placed in front of a vertical plane mirror as shown in figure. If the mirror is rotated through an angle theta, then the light ray becomes horizontal either after the mirror or after second time passing from the prism in opposite direction. The value theta is

    A
    `1^@`
    B
    `2^@`
    C
    `4^@`
    D
    Not possible

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