Suppose an experiment where a monochromatic light is passed through 3 slits as shown in the figure. (Consider 3 parallel rays as shown from the 3 slits) What is the path difference between rays number 1 and 3?
A
2dcosθ
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B
dsinθ
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C
dcosθ
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D
2dsinθ
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Solution
The correct option is D2dsinθ CD is the path difference between rays number 1 and 3.
Here, ∠CAD=θ
and AC=2d
In ΔADC,∠ADC=90∘
Hence, CD=ACsinθ=2dsinθ
Hence, (B) is the correct answer.
Why this question?Note :- For multiple slit interference the path difference between parallel rays progresses as dsinθ,2dsinθ,3dsinθ....