Solved: PHYSICS Question for NEET

NEET PHYSICSEasy

Two coherent sources of light interfere and produce fringe patterns on a screen. For the central maximum, the phase difference between the two waves will be:

zero

\pi

3\pi /2

\pi /2

Step-by-Step Solution

Condition for Constructive Interference: Constructive interference (bright fringes or maxima) occurs when the phase difference ( $\phi$ ) between the two interfering waves is an even integral multiple of $\pi$ . Mathematically, $\phi = 2n\pi$ , where $n = 0, 1, 2, \dots$ .
Central Maximum: The central maximum corresponds to the geometric center of the fringe pattern where the path difference ( $\Delta x$ ) between the waves from the two coherent sources is zero.
Phase Difference Calculation: The relationship between phase difference and path difference is given by $\phi = \frac{2\pi}{\lambda} \Delta x$ . For the central maximum, since $\Delta x = 0$ , the phase difference $\phi = 0$ .
Conclusion: Therefore, for the central maximum, the phase difference is zero.

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