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प्रश्न
In Young’s double-slit experiment using monochromatic light of wavelength λ, the intensities of two sources are I. What is the intensity of light at a point where the path difference between wavefronts is `lambda/4`?
संख्यात्मक
उत्तर
Net I = `I_1 + I_2 + 2sqrtI_1sqrtI_2 cosphi`
Since I1 = I2 = I
Net I = I + I + 2 I cosΦ
= 2I (1 + cosΦ)
= `2I (2 cos^2 phi/2)`
For path difference `lambda/4`, phase difference is `pi/2`.
Net I = `4 I cos^2 pi/4`
Net I = 2 I
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