What is the effect on the interference fringes in Young's double slit experiment due to each of the following operations? Justify your answers.
(a) The screen is moved away from the plane of the slits.
(b) The separation between the slits is increased.
(c) The source slit is moved closer to the plane of the double slit.
(a) The screen is moved away from the plane of the slits.
(b) The separation between the slits is increased.
(c) The source slit is moved closer to the plane of the double slit.
Solution
The fringe width is .
(a) ( increases): , so the fringe width .
(b) ( increases): , so the fringe width .
(c) to the double slit: the condition for distinct fringes is , where is the source-slit width and its distance. Moving the source closer decreases , increasing ; once the fringes lose contrast and eventually .
(a) ( increases): , so the fringe width .
(b) ( increases): , so the fringe width .
(c) to the double slit: the condition for distinct fringes is , where is the source-slit width and its distance. Moving the source closer decreases , increasing ; once the fringes lose contrast and eventually .
CBSE Class 12 Board · 2020 · Subjective