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The relation between focal length 'f', object distance 'u' and image distance 'v' in the case of reflection of light by a spherical mirror is given by
Question

The relation between focal length 'f', object distance 'u' and image distance 'v' in the case of reflection of light by a spherical mirror is given by___________.

A.

1/f = (uv)/(u+v)

B.

1/f = (1/u) + (1/v)

C.

1/f = (1/u) – (1/v)

D.

1/f = (1/v) – (1/u)

Correct option is B

The correct answer is (b) 1/f = (1/u) + (1/v)

Explanation:-

  • Object distance(u): It is the distance between the object placed and the incidence point.
  • Image distance(v): It is the distance to the center line of the lens of an image.
  • Focal length: It is the one-half of mirror radius of curvature.
  • The formula of focal length: f= R/2
  • Hence, the relationship between object distance, image distance, and focal length of a spherical mirror is 1/f = (1/u) + (1/v).

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