Wave OpticsHard
Question
In a Young′s double slit experiment, the separation between the two slits is d and the wavelength of the light is λ The intensity of light falling on slit 1 is four times the intensity of light falling on slit 2. Choose the correct choice(s).
Options
A.If d = λ, the screen will contain only one maximum
B.If λ < d < 2λ, at least one more maximum (besides the central maximum) will be observed on the screen
C.If the intensity of light falling on slit 1 is reduced so that it becomes equal to that of slit 2, the intensities of the observed dark and bright fringes will increase
D.If the intensity of light falling on slit 2 is increased so that it becomes equal to that of slit 1, the intensities of the observed dark and bright fringes will increase
Solution
For at least one maxima, sin θ = λ/d
Ifλ = d, sin θ = 1 and y → ∞
Ifλ < d < 2d, sin θ exists and y is finite
Ifλ = d, sin θ = 1 and y → ∞
Ifλ < d < 2d, sin θ exists and y is finite
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