PhysicsIn a Young’s double slit experiment, the intensities at two points, for the path differences λ/4 and λ/3 (λ being the wavelength of light used) are I1 and I2 respectively. If I0 denotes the intensity produced  by each one of the individual slits, then I1+I2I0 = ___________.

In a Young’s double slit experiment, the intensities at two points, for the path differences λ/4 and λ/3 (λ being the wavelength of light used) are I1 and I2 respectively. If I0 denotes the intensity produced  by each one of the individual slits, then I1+I2I0 = ___________.

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    Solution:

    for I1, ϕ1=2πλ×λ4=π2
    I1=4I0cos2π4=2I0
    for I2, ϕ2=2πλ×λ3=2π3I2=4I0cos2π3=I0
    I1+I2I0=3I0I0=3

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