Two sources, \(S_1\)​ and \(S_2,\) separated by a distance \(d,\) interfere by sending light waves along the line \(S_1S_2.\) The two sources vibrate in phase with each other, and the wavelength of light is \(\lambda.\) For which value of \(d\) do the two sources produce a maximum (along \(S_1S_2\)​)?
1. \(\Large\frac{3\lambda}{2}\) 2. \(\Large\frac{5\lambda}{4}\)
3. \(6\lambda\) 4. \(\Large\frac{2\lambda}{3}\)
Subtopic:  Superposition Principle |
 66%
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Two waves from coherent sources meet at a point in a phase difference of \(\phi\) and path difference \(\Delta x.\) Both waves have same intensities \(I_0.\) Based on this information, match Column-I and Column-II.
Column-I Column-II
(a) If \({\Delta x}=\dfrac{\lambda}{3}\) (p) resultant intensity will be \(3I_0\)
(b) If \(\phi = 60^{\circ}\) (q) resultant intensity will be \(I_0\)
(c) If \({\Delta x}=\dfrac{\lambda}{4}\) (r) resultant intensity will be zero
(d) If \(\phi = 90^{\circ}\) (s) resultant intensity will be \(2I_0\)
 
1. a(q), b(p), c(s), d(s)
2. a(s), b(p), c(s), d(q)
3. a(q), b(s), c(s), d(p)
4. a(s), b(r), c(q), d(r)
Subtopic:  Superposition Principle |
 75%
From NCERT
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