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Q.

Arrange the following glass convex lenses in
increasing order of their focal powers
a) R₁ = 12 cm, R2 = 6 cm b) R₁ = 10 cm, R₂ = 5 cm
c) R₁ = 15 cm, R₂ = 5 cm d) R₁ =15 cm, R₂ =10 cm

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a

a,b,c,d

b

d,c,b,a

c

a,c,b,d

d

d,a,c,b

answer is A.

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Detailed Solution

$\frac{1}{f} = (μ - 1) (\frac{1}{R_{1}} - \frac{1}{R_{2}})$ ;

$f = \frac{(R_{1} R_{2})}{(R_{1} + R_{2}) (μ - 1)}$ for convex lens

$f_{a} = \frac{2 \times 2 \times 2}{(4) (3)} = 2 / 3 cm$ , for option a

$f_{b} = \frac{20 \times 10 \times 10}{6 \times 30} = \frac{200}{18} cm$ , for option b

similarly calculate for other options

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