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Question: Correct exposure for a photographic print is 10 seconds at a distance of one metre from a point sour...

Correct exposure for a photographic print is 10 seconds at a distance of one metre from a point source of 20 candela. For an equal fogging of the print placed at a distance of 2 m from a 16 candela source, the necessary time for exposure is

A

100 sec

B

25 sec

C

50 sec

D

75 sec

Answer

50 sec

Explanation

Solution

For equal fogging

I2×t2=I1×t1I_{2} \times t_{2} = I_{1} \times t_{1}

6mu6muL2r22×t2=L1r12×t16mu6mu164×t2=201×10\Rightarrow \mspace{6mu}\mspace{6mu}\frac{L_{2}}{r_{2}^{2}} \times t_{2} = \frac{L_{1}}{r_{1}^{2}} \times t_{1} \Rightarrow \mspace{6mu}\mspace{6mu}\frac{16}{4} \times t_{2} = \frac{20}{1} \times 10

6mu6mut2=50sec.\Rightarrow \mspace{6mu}\mspace{6mu} t_{2} = 50sec.