Question

The radius of curvature of the convex surface of a plano convex lens is 12 cm and refractive index is 1.5, If the plane face of the lens is slivered, then the distance from the lens at which parallel rays incident on its convex surface converge is​

Answer 1

Answer:

Answer is given in the pic

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Answer 2

Answer:

Solution

(a)As for a lens,by lens -maker's formula <br>

<br> Here

and

<br> So

i.e,

<br> i.e,the lens as convergent with focal length

(b)As light after passing through the lens will be incident on the mirror which will reflect it back throught the lens again,so <br>

<br>

and

[as

] <br>

<br>The system is equivalent to a concave mirror of focal length

<br>

<br> i.e,the rays will behave as a concave mirror of focal length

cm.So as for parallel incident rays

from mirror formula

we have

i.e,

<br> i.e, parallel incident rays will focus will at a distance of

in front of the lens as shown in fig.(c)and(d) when object is at

in front of the given silvered lens which behaves as a concave mirror of focal length

from mirror formula <br>

we have <br>

i.e,

cm <br> i.e, the silvered lens will form image at a distance of

cm in front of it as shown in fig.(c ).

Explanation:

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