How will the angular separation and visibility of fringes in Young’s

1.	How will the angular separation and visibility of fringes in Young’s double slit experiment change when (i) screen is moved away from the plane of the slits, and (ii) width of the source slit is increased?
Answer» (i) Angular separation β_θ = β/D = λ/d It is independent of D; therefore, angular separation remains unchanged if screen is moved away from the slits. But the actual separation between fringes β = λD/d increases, so visibility of fringes increases (ii) When width of source slit is increased, then the angular fringe width remains unchanged but fringes becomes less and less sharp; so visibility of fringes decreases. If the condition s/S < λ/d is not satisfied, the interference pattern disappears.

How will the angular separation and visibility of fringes in Young’s double slit experiment change when (i) screen is moved away from the plane of the slits, and (ii) width of the source slit is increased?

Answer»

(i) Angular separation β_θ = β/D = λ/d

It is independent of D; therefore, angular separation remains unchanged if screen is moved away from the slits. But the actual separation between fringes β = λD/d increases, so visibility of fringes increases

(ii) When width of source slit is increased, then the angular fringe width remains unchanged but fringes becomes less and less sharp; so visibility of fringes decreases. If the condition s/S < λ/d is not satisfied, the interference pattern disappears.

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