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Question

# In young's double slit experiment , the interference pattern is found to have an intensity 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 slits are 4 units and 1 unit 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 option is C The amplitude ratio is 3.We know that, Intensity∝amplitude2 Also, ImaxImin=(a+b)2(a−b)2 Where, I1∝a2 and I2∝b2 Given data, ImaxImin=91 ⇒(a+b)(a−b)=31 ⇒ab=12 Ratio, I1I2=14

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