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Question

Question: A double convex lens made of material of refractive index m<sub>1</sub> is placed inside two liquids...

A double convex lens made of material of refractive index m1 is placed inside two liquids of refractive index µ2 and µ3 as shown in figure where m2>m1>m3. A wide parallel beam of light is incident on lens from left. The lens will give rise to –

A

Single convergent beam

B

Two different convergent beam

C

Two different divergent beam

D

A convergent and divergent beams

Answer

A convergent and divergent beams

Explanation

Solution

=

(focal length of upper part of lens)

1f2\frac { 1 } { \mathrm { f } _ { 2 } } = μ3μ1μ1\frac { \mu _ { 3 } - \mu _ { 1 } } { \mu _ { 1 } } [2R]\left[ \frac { 2 } { \mathrm { R } } \right]

(focal length of lower part of lens)

as m2 > m1 f1 = +ve converging lens

as m3 < m1 f2 = –ve diverging lens