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Q.

When a parallel beam of white light passes through a convex lens, red, yellow and violet colours are focussed at 20.5 cm, 20 cm and 19.5 cm respectively. Then dispersive power of material of the lens is

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a

0.195

b

0.200

c

0.205

d

none of these

answer is D.

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Detailed Solution

(4)1f=μ−1  1R1+R2 ⇒  μ=1+kf  where  k=R1R2R1+R2∴   μr=1+k20.5,  μv=1+k19.5  and  μY=1+k20∴  ω=μv − μrμY−1=  k19.5−k20.5k/20=20  ×  119.5  ×  20.5=0.05
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When a parallel beam of white light passes through a convex lens, red, yellow and violet colours are focussed at 20.5 cm, 20 cm and 19.5 cm respectively. Then dispersive power of material of the lens is