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Question

Question: The exposure time of a camera lens at the \(\frac{f}{2.8}\) setting is \(\frac{1}{200}\) second. The...

The exposure time of a camera lens at the f2.8\frac{f}{2.8} setting is 1200\frac{1}{200} second. The correct time of exposure at f5.6\frac{f}{5.6} is

A

0.4 sec

B

0.02 sec

C

0.002 sec

D

0.04 sec

Answer

0.02 sec

Explanation

Solution

Time of exposure

(f.number)2\propto (f.number)^{2} t2t1=(5.62.8)2=4\Rightarrow \frac{t_{2}}{t_{1}} = \left( \frac{5.6}{2.8} \right)^{2} = 4

t2=4t1=4×1200=150t_{2} = 4t_{1} = 4 \times \frac{1}{200} = \frac{1}{50}sec = 0.02 sec.