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If $R_{1} {and R}_{2}$ are the radii of curvature of double convex lens made of same material, the lens with more focal length is

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a

R1 = 20 cm, R2 = 10 cm

b

R1 = R2 = 20 cm

c

R1 = R2 = 10 cm

d

R1 = R2 = 5 cm

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detailed solution

Correct option is B

1f=(μ−1)(1R1+1R2) 1f∝(120+110)∝320 1f∝(120+120)∝110 1f∝(110+110)∝210 1f∝(15+15)∝410

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A plano convex lens fits exactly into a plano concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive indices $μ_{1}$ and $μ_{2}$ and R is the radius of curvature of the curved surface of the lenses, then the focal length of the combination is

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