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Question

An achromatic convergent lens of equivalent focal length +20 cm is made of two lenses (in contact) of materials having dispersive powers in the ratio of 1:2 and having focal lengths f1 and f2. The correct option is
  1. f1= 10cm, f2= 20cm
  2. f1= 20cm,f2= -10cm
  3. f1= 20cm, f2= 10cm
  4. f1=10cm, f2= -20cm

A
f1= 20cm, f2= 10cm
B
f1=10cm, f2= -20cm
C
f1= 10cm, f2= 20cm
D
f1= 20cm,f2= -10cm
Solution
Verified by Toppr

Using, the additive property of powers of a lens,
P=P1+P2

1f=1f1+1f2

Also, the focal length is directly proportional to the dispersive power.

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