YDSE Fringe Width and White Light – Rankers Physics
Topic: Wave Optics
Subtopic: Young's Double Slit Experiment

YDSE Fringe Width and White Light

Assertion (A): In Young's experiment, the fringe width for dark fringes is different from that for bright fringes.
Reason (R): In Young's double slit experiment with a source of white light, only black and white fringes are observed.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

In YDSE, the fringe width is given by \(\beta = \frac{\lambda D}{d}\), which is independent of whether the fringe is bright or dark. Hence, A is false. With white light, a central bright white fringe is formed, and then colored fringes are observed, not just black and white. Hence, R is false.

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