Question

. A divergent lens has a focal length of 20 cm. At what distance should an object of height 4 cm from the optical center of the lens be placed so that its image is formed 10 cm away from the lens. Find the size of the image also

Answer 1

Answer:

Given :-

f = - 20 cm

h₁ = 4 cm

v = - 10 cm

To Find :-

u = ??

h₂ = ??

Solution :-

Using 1/f = 1/v - 1/u, we get

⇒ 1/u = - 1/10 + 1/20

⇒ 1/u = - 2 + 1/20

⇒ 1/u = - 1/20

⇒ u = - 20 cm

h₂ = (v/u)  h₁

⇒ h₂ = - 10/- 20 × 4

⇒ h₂ = 2 cm

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