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A convex lens has a focal length of 10cm. When it is immersed in water it will behave as which of the following given below?

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A convex lens of 10 cm focal length.

A concave lens of 10 cm focal length.

A convex lens of focal length greater than 10 cm .

A concave lens of focal length less than 10 cm.

answer is C.

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Detailed Solution

When it is immersed in water it will behave as A convex lens of focal length greater than 10 cm.
The focal length of a convex lens

= 10 cm

Focal length of a lens is given by:

\frac{1}{f}

(μ - μ^{'}) [\frac{1}{R_{1}} - \frac{1}{R_{2}}

] (len’s marker formula)
Where

μ

=refractive index of lens

μ'

=refractive index of surrounding medium

R_{1} R_{2}

=Radius of curvature of two sides of lens
Now,

f∞ \frac{1}{(μ - μ^{'})}

Since

μ^{'}

for water is greater than that of air So,

(μ - μ^{'}

) decreases And So, f increases in water

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