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The aperture radius of thin convex lens is 2 mm. Find the radius of circular bright spot on screen

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1 mm

2 mm

3 mm

4 mm

answer is A.

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Detailed Solution

For lens, $u = - 30 c m, f = 20 c m$

$\frac{1}{v} - \frac{1}{u} = \frac{1}{f}$

$\Rightarrow \frac{1}{v} + \frac{1}{30} = \frac{1}{20}$

$\Rightarrow v = + 60 c m$

From figure, $\tan θ = \frac{2 m m}{60 c m} = \frac{r}{30 c m}$

$∴ r = 1 m m$

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