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Q.

The dispersive powers of glasses of lenses used in an achromatic pair are in the ratio 5 :  3. If the focal length of the concave lens is 15 cm then the nature and focal length of the other lens would be

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a

Convex, 9 cm

b

Concave, 9 cm

c

Convex, 25 cm

d

Concave,  25 cm

answer is A.

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Detailed Solution

ω1ω2=−f1f2⇒53=−(−15)f2⇒f2=9cm
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The dispersive powers of glasses of lenses used in an achromatic pair are in the ratio 5 :  3. If the focal length of the concave lens is 15 cm then the nature and focal length of the other lens would be