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Q.

In the Young's double slit experiment, the interference pattern is found to have an intensity ratio between bright and dark fringes as 9. This implies that

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a

the intensities at the screen due to the two slits are 5 units and 4 units respectively

b

the intensities at the scree[ due to the two slits are 4 units and 1 unit respectively

c

the amplitude ratio is 3

d

the amplitude ratio is 4

answer is B.

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Detailed Solution

ImaxImin=a1+a22a1−a22 Given that ImaxImin=9 a1+a22a1−a22=9  or  a1+a2a1−a2=3 or a1+a2=3a1−3a2  or  a1=2a2 Hence answer [d) is correct.  Let I1 and I2 be the intensities due to two slits. Then  I1∝a12 and I2∝a22 I1I2=a12a22=2a22a22=41 Hence aaswer (b) is correct
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In the Young's double slit experiment, the interference pattern is found to have an intensity ratio between bright and dark fringes as 9. This implies that