Question

two convex lens each of focal length 20 cm are separated by
125 cm. An object of height 0.5 cm placed at distance 25 cm left side from the first lens
then, find height of final image​

Answer 1

Answer:

8cm

Explanation:

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Answer 2

#Diagram for your convenience.

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Answer:

8cm

Given:

For first lens:

f=+20cm

distance between lenses=125cm

height of object,h₀=0.5cm

object distance, u=–25cm

Explanation:

By lens formula, 1/f=1/v-1/u

1/v=1/f+1/u

1/v=(1/20)-(1/25)

1/v=(5-4)/100

1/v=1/100

=> v=100cm

By magnification formula of lens ;

m=v/u=hi/h₀

(100/-25)=hi/0.5

hi/0.5=-4

=>hi=–2cm

For second lens:

f=+20cm

u=–(125-100)=–25cm

By lens formula; 1/f=1/v-1/u

1/v=1/f+1/u

1/v=(1/20)–(1/25)

1/v=(5-4)/100

1/v=1/100

=>v=100cm

By magnification formula of lens ;

m=v/u=hi/h₀

100/-25=hi/-2

hi/-2=-4

=>hi=+8cm is the height of final image.