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Question

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

A
the intensities at the screen due to the two slits are 5 units and 4 units,respectively
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B
the intensities at the screen due to the two slits are 4 units and 1 units respectively
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C
the amplitude ratio is 3
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D
the amplitude ratio is 2
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Solution

## The correct options are B the intensities at the screen due to the two slits are 4 units and 1 units respectively D the amplitude ratio is 2Let 'a' and 'b' be the amplitudes of the light from the two slits.Thus ImaxImin=(a+b)2(a−b)2=9⟹a+ba−b=3⟹a=2bab=2I1I2=a2b2=4

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