In a Young’s double slit interference pattern, following maxima and minima are obtained. Arrange them in the ascending order of path difference.
A. Central maxima
B. First minima
C. First maxima
D. Second minima
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → A, B, C, D
In Young’s experiment a bright fringe (maximum) occurs at path difference \( n\lambda \) and a dark fringe (minimum) at \( (2n - 1)\lambda/2 \), with maxima and minima alternating; each step from one to the next adds half a wavelength of path difference.
A. Central maxima: path difference \( 0 \)
B. First minima: \( \lambda/2 \)
C. First maxima: \( \lambda \)
D. Second minima: \( 3\lambda/2 \)
Ascending order of path difference: A, B, C, D.
NCERT (2026-27):
Coherent and Incoherent Addition of Waves – “… To summarise: If we have two coherent sources S1 and S2 vibrating in phase, then for an arbitrary point P whenever the path difference,
\( \displaystyle S_1P \sim S_2P = n\lambda \quad (n = 0, 1, 2, 3, \ldots) \qquad (10.9) \)
we will have constructive interference and the resultant intensity will be 4I0; the sign ~ between S1P and S2P represents the difference between S1P and S2P. On the other hand, if the point P is such that the path difference,
\( \displaystyle S_1P \sim S_2P = \left(n + \frac{1}{2}\right)\lambda \quad (n = 0, 1, 2, 3, \ldots) \qquad (10.10) \)
we will have destructive interference and the resultant intensity will be zero.”