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Question

Radii of curvature of a converging lens are in the ratio 1:2. Its focal length is 6cm and refractive index is 1.5. Then its radii of curvature are _________ respectively.

A
9cm and 18cm
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B
6cm and 12cm
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C
3cm and 6cm
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D
4.5cm and 9cm
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Solution

The correct option is C 4.5cm and 9cm
Given : R1:R2=1:2 f=6 cm μ=1.5
R2=2R1---------------(1)
Using lens maker formula, 1f=(μ1)(1R11R2)
OR 16=(1.51)(1R1+12R1)

OR 16=(0.5)(32R1) R1=4.5 cm
On putting the value of R1 in equation (1):
R2=2×4.5=9 cm
Hence the correct option is (D)

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