An object is placed in front of a concave mirror of focal length 12 cm, at a distance of 8 cm. Its image is formed at a distance of:

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RRB Group D 26 Aug 2022 Shift 3 Official Paper
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  1. 24 cm
  2. 4.8 cm
  3. 8 cm
  4. 12 cm

Answer (Detailed Solution Below)

Option 1 : 24 cm
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Detailed Solution

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Given:

  • An object is placed in front of a concave mirror
  • Focal length, f = -12 cm(since it is a concave mirror so f is negative)
  • Object distance, u = -8 cm.

Formula Used:

Mirror Formula, \({1 \over f} = {1 \over v}+ {1 \over u}\)

Calculations:

Using the mirror formula, we get

\({1 \over f} = {1 \over v}+ {1 \over u}\\ \implies {-1 \over 12} = {1 \over v}+ {-1 \over 8}\\ \implies {1 \over v} = {-1 \over 12} +{1 \over 8}\\ \implies {1 \over v} ={1 \over24} \\ \implies v = 24 cm\)

Therefore, the image of the concave mirror is formed at a distance (v) of 24 cm.

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