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Question: Answered & Verified by Expert
A candle flame 0.5 cm high is kept between a wall and a concave mirror of focal length 1.5 m such that its image 1.5 cm high is formed on the wall. Find the distance of candle from the wall and also the distance between the wall and the mirror.
PhysicsRay OpticsJEE Main
Options:
  • A 4 m, m
     
  • B 6 m, 7 m
     
  • C 6 m, 8 m
     
  • D 9 m, 7 m
Solution:
2034 Upvotes Verified Answer
The correct answer is: 4 m, m
 
Image of the flame formed by the concave mirror on the wall will be real and inverted, hence magnification



                         m = I O = - 1 . 5 0 · 5 = - 3

                         m = - v u = - 3

∴                        v = 3u

Using                1 v + 1 u = 1 f

                         1 3 u + 1 u = - 1 1 . 5                f = - 1 . 5 m

                         4 3 u = - 1 1 . 5

∴                         u = - 4 × 1 . 5 3 = - 2 m

Thus the flame is at distance 2m from the mirror and                 v = 3u = 6 m

Hence the distance between wall and mirror is 6 m. It implies that the distance between the flame and the wall will be 4m.

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