Questions

At the first minimum adjacent to the central maximum of a single-slit diffraction pattern, the phase difference between the Huygen's wavelet from the edge of the slit and the wavelet from the midpoint of the slit is

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a

π radian

b

π8 radian

c

π4 radian

d

π2radian

detailed solution

Correct option is A

The situation is shown in the figure. In figure A and B represent the edges of the slit AB of width a and C represents the midpoint of the slit. For the first minimum at P,For the first minimum at P,asinθ=λ . . . .(i) where λ is the wavelength of light. The path difference between the wavelets from A to C is Δx=a2sinθ=12(asinθ)=λ2 (using (i)) The corresponding phase difference Δϕ is Δϕ=2πλΔx=2πλ×λ2=π

Similar Questions

In single slit diffraction pattern under bichromatic illumination. If the first minimum with the wavelength $\mathrm{\lambda}$_{1} is found to be coincident with third maximum of $\mathrm{\lambda}$_{2}, then

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