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Magnification produced by a spherical mirror is equal to________.
Question

Magnification produced by a spherical mirror is equal to________.

A.

Object distance/Image distance

B.

Height of the image/height of the object

C.

Height of the image × height of object

D.

Object distance × image distance

Correct option is B

Correct Answer: B

Explanation

  • Magnification (m) produced by a spherical mirror is defined as the ratio of the height of the image (h') to the height of the object (h).
  • It expresses the degree to which an object is enlarged or diminished in its image relative to the object's actual size.
  • Mathematically, it is represented as:

m=Height of the image (h)Height of the object (h)m = \frac{\text{Height of the image } (h')}{\text{Height of the object } (h)}​​

Information Booster

  • Magnification is also related to the object distance (u) and image distance (v) by the formula:

m=vum = -\frac{v}{u}​​

  • Sign Convention: For a real image, $m is negative because the image is inverted (h' is negative). For a virtual image, m is positive because the image is erect (h' is positive).
  • If |m| > 1, the image is enlarged; if |m| < 1, th image is diminished; if |m| = 1, the image is the same size as the object.
  • Magnification is a unitless quantity since it is a ratio of two similar dimensions (heights or distances).

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