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Question

Question: A double convex lens made of glass of refractive index 1.56 has both radii of curvature of magnitude...

A double convex lens made of glass of refractive index 1.56 has both radii of curvature of magnitude 20 cm. If an object is placed at a distance of 10 cm from this lens. The position of the image formed is:

A

22.86 same side of the object

B

22.86 opposite side of the object

C

44.89 same side of the object

D

44.89 opposite side of the object

Answer

22.86 same side of the object

Explanation

Solution

: Using 1f=(μ1)(1R11R2)\frac { 1 } { \mathrm { f } } = ( \mu - 1 ) \left( \frac { 1 } { \mathrm { R } _ { 1 } } - \frac { 1 } { \mathrm { R } _ { 2 } } \right)

Here,μ=1.56\mu = 1.56

1f=(1.561)(120+120)\frac { 1 } { \mathrm { f } } = ( 1.56 - 1 ) \left( \frac { 1 } { 20 } + \frac { 1 } { 20 } \right)

Now, from lens equation,

Since v is negative, the image will be formed on the same side as that of object.