First slide

The optical instruments

Question

A camera objective has an aperture diameter d. If the aperture is reduced to diameter $\frac{d}{2}$ the exposure time under identical conditions of light should be made

Moderate

A

$\sqrt{2} fold$
B

2 fold
C

$2 \sqrt{2} fold$
D

4 fold

Solution

$Time of exposure \propto \frac{1}{{(Aperture )}^{2}} \frac{t_{2}}{t_{1}} = {(\frac{d}{\frac{d}{2}})}^{2} = 4$

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