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Question: The radius of curvature of each surface of a convex lens of refractive index 1.5 is 40cm. Its power ...

The radius of curvature of each surface of a convex lens of refractive index 1.5 is 40cm. Its power is:

A

2.5 D

B

2 D

C

1.5 D

D

1 D

Answer

2.5 D

Explanation

Solution

: Power, P=1f=(μ1)[1R11R2]\mathrm { P } = \frac { 1 } { \mathrm { f } } = ( \mu - 1 ) \left[ \frac { 1 } { \mathrm { R } _ { 1 } } - \frac { 1 } { \mathrm { R } _ { 2 } } \right]

Here, μ=1.5,R1=40 cm=0.4 cm\mu = 1.5 , \mathrm { R } _ { 1 } = 40 \mathrm {~cm} = 0.4 \mathrm {~cm}

=(1.51)(10.4+10.4)= ( 1.5 - 1 ) \left( \frac { 1 } { 0.4 } + \frac { 1 } { 0.4 } \right)

P=2.5D\mathrm { P } = 2.5 \mathrm { D }