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A small plane mirror placed at the centre of a spherical screen of radius R. A beam of light is falling on the mirror, If the mirror makes n revolution per second, the speed of light on the screen after reflection from the mirror will be

A. 4πnR
B. 2πnR
C. nR/2π
D. nR/4π

1 Answer

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Final answer:

A small plane mirror placed at the centre of a spherical screen of radius R. A beam of light is falling on the mirror, If the mirror makes n revolution per second, the speed of light on the screen after reflection from the mirror will be will be 4πnR.

Step-by-step explanation:

The speed of light after reflection from the mirror can be determined using the following steps:

  1. When a ray of light falls on a small plane mirror placed at the center of a spherical screen, it is reflected back in the opposite direction.
  2. Since the mirror makes n revolutions per second, the light ray will be reflected n times per second.
  3. The speed of light on the screen after reflection from the mirror will be n times the distance traveled by the light ray in one revolution. Considering the circumference of the mirror as 2πR, where R is the radius of the spherical screen, the speed of light on the screen after reflection will be given by 2πnR.

Therefore, the correct answer is A. 4πnR.

User Matt Urtnowski
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