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Question

Physics Question on Wave optics

Time of exposure for a photographic print is 10 s, when a lamp of 50 cd is placed at 1 m from it. Then another lamp of luminous intensity I is used, and is kept at 2 m from it. If the time of exposure now is 20 sec, the value of I is (cd)

A

200

B

20

C

100

D

25

Answer

100

Explanation

Solution

UsingI1t1=I2,t2,wegetL1d22t1=L2d22t2i,e.L2=L1d12×d22t2=50×10×420=100cdUsing \,I_1\,t_1=I_2,t_2,we\,get \frac{L_1}{d_2^2}t_1=\frac{L_2}{d_2^2}t_2\,i,e.L_2=\frac{L_1}{d^2_1}\times \frac{d^2_2}{t_2}=\frac{50 \times 10 \times 4}{20}=100\,cd