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Q.

A symmetrical biconcave lens having radius of curvature R is made up of two different materials as shown in figure. A parallel beam of light passing through the lens appear to diverge from two different points. Find the distance between them.

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a

2Rμ1μ2

b

R2μ21μ11

c

R2μ2μ1μ11μ21

d

R2μ11μ21

answer is B.

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Detailed Solution

The given lens is equivalent to the combination of two biconcave lenses of different focal lengths. When a beam parallel to principal axis falls on this lens, after refraction, they appear to diverge from their foci. Hence the difference of their focal lengths will be equal to the distance between the diverging points.

1f1=μ111R1+R

f1=R2μ11

 similarly, f2=R2μ21

Required distance

d=f1f2=R21μ111μ21=R2μ2μ1μ11μ21

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