Question 196: Ray Optics

Question

A double convex lens has power P and same radii of curvature R of both the surfaces. The radius of
curvature of a surface of a plano-convex lens made of the same material with power 1.5 P is :

Accepted Answer

Assume refractive index = $$\mu $$
$$l$$
P = $$\left( {{\mu _l} - 1} \right)\left( {{2 \over R}} \right)$$ .....(1)
$${3 \over 2}P = \left( {{\mu _l} - 1} \right)\left( {{1 \over {{R_1}}}} \right)$$ ......(2)
from (1)/(2)
$${P \over {{3 \over 2}P}} = {{\left( {{2 \over R}} \right)} \over {\left( {{1 \over {{R_1}}}} \right)}}$$
$$ \Rightarrow $$ R
1
= $${R \over 3}$$

Answer

$${R \over 3}$$

Answer

$${{3R} \over 2}$$

Answer

$${R \over 2}$$

Answer

2R

Ray Optics

A double convex lens has power P and same radii of curvature R of both the surfaces. The radius of curvature of a surface of a plano-convex lens made of the same material with power 1.5 P is :

Choose the correct answer: