0.5 was the Magnification of an image formed on a rear view mirror When the Object was placed at a distance of 30cm.
Find the

2 thoughts on “0.5 was the Magnification of an image formed on a rear view mirror When the Object was placed at a distance of 30cm.<br />Find the”

1. Answer :-

   Image is formed at a distance of 15 cm from the mirror.

   Explanation :-

   We have :-

   → Magnification = 0.5

   → The mirror is a rear view mirror.

   → Distance of the object = 30 cm

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   Since it is given that the mirror is a rear view mirror. So, it is a convex mirror.

   For a convex mirror :-

   • u = -30 cm

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   Now, according to formula of magnification :-

   m = –(v/u)

   ⇒ 0.5 = -(v/-30)

   ⇒ 0.5 = v/30

   ⇒ v = 0.5 × 30

   ⇒ v = 15 cm

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2. Given :-

   0.5 was the Magnification of an image formed on a rear view mirror When the Object was placed at a distance of 30cm.

   To Find :-

   Image distance

   Solution :-

   We know that

   m = -v/u

   Where

   m = magnification

   v = image distance

   u = object distance

   0.5 = -v/u

   • 0.5 can be written as 1/2

   1/2 = -v/-30

   1/2 = v/30

   1(30) = 2v

   30 = 2v

   30/2 = v

   15 = v

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