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Question: Bottom of glass beaker is made of a thin equiconvex lens having bottom side silvered polished as sho...

Bottom of glass beaker is made of a thin equiconvex lens having bottom side silvered polished as shown in figure. Now the water is filled in the beaker upto a height of h = 4m. The image of point object floating at middle point of beaker at the surface of water coincides with it. Find out the value of radius of curvature of lens (aμg=32,aμw=43)\left( { } _ { a } \mu _ { g } = \frac { 3 } { 2 } , { } _ { a } \mu _ { w } = \frac { 4 } { 3 } \right) -

A

3

B

5

C

8

D

10

Answer

5

Explanation

Solution

if ray incident on lens or equivalent mirror incident normally then light retrace its path and final image will coincide with object

\ f of mirror should be = 32\frac { 3 } { 2 } metre

\ =

23\frac { 2 } { 3 } =

23\frac { 2 } { 3 } =

R = 5 metre