Optics 3 Question 20

20. A hollow double concave lens is made of very thin transparent material. It can be filled with air or either of two liquids L1 or L2 having refracting indices n1 and n2 respectively (n2>n1>1). The lens will diverge a parallel beam of light if it is filled with

(2000,2M)

(a) air and placed in air

(b) air and immersed in L1

(c) L1 and immersed in L2

(d) L2 and immersed in L1

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Answer:

Correct Answer: 20. (d)

Solution:

  1. The lens makers’ formula is

1f=nLnm11R11R2

where, nL= Refractive index of lens and

nm= Refractive index of medium. 

In case of double concave lens, R1 is negative and R2 is positive. Therefore, 1R11R2 will be negative.

For the lens to be diverging in nature, focal length f should be negative or nLnm1 should be positive or nL>nm but since n2>n1 (given), therefore the lens should be filled with L2 and immersed in L1.



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