Interference of Waves
PHXII10:WAVE OPTICS

367786 Two waves originating from sources \(S_{1}\) and \(S_{2}\) having zero phase difference and common wavelength \(\lambda\) will show completely destructive interference at a point \(P\) if \(\left(S_{1} P-S_{2} P\right)\) is:

1 \(5 \lambda\)
2 \(2 \lambda\)
3 \(\dfrac{3 \lambda}{4}\)
4 \(11 \dfrac{\lambda}{2}\)
PHXII10:WAVE OPTICS

367787 The maximum constructive interference of 2 waves cannot occur if the phase difference is

1 \(2\,\pi \)
2 \(4\,\pi \)
3 \(5\,\pi \)
4 0
PHXII10:WAVE OPTICS

367788 If two sources have a randomly varying phase difference \(\phi(t)\), the resultant intensity will be given by

1 \(1 / 2 I_{0}\)
2 \(I_{0} / 2\)
3 \(2 I_{0}\)
4 \(I_{0} / \sqrt{2}\)
PHXII10:WAVE OPTICS

367789 Two sources of intensity \(I\) and \(4I\) are used in an interference experiment. The intensity at points where the waves from the two sources superpose with a phase difference.
(i) Zero, (ii) \(\pi /2\) and (iii) \(\pi \), are

1 \(5I,3I,0\)
2 \(5I,3I,2I\)
3 \(9I,5I,I\)
4 \(9I,5I,0\)
PHXII10:WAVE OPTICS

367786 Two waves originating from sources \(S_{1}\) and \(S_{2}\) having zero phase difference and common wavelength \(\lambda\) will show completely destructive interference at a point \(P\) if \(\left(S_{1} P-S_{2} P\right)\) is:

1 \(5 \lambda\)
2 \(2 \lambda\)
3 \(\dfrac{3 \lambda}{4}\)
4 \(11 \dfrac{\lambda}{2}\)
PHXII10:WAVE OPTICS

367787 The maximum constructive interference of 2 waves cannot occur if the phase difference is

1 \(2\,\pi \)
2 \(4\,\pi \)
3 \(5\,\pi \)
4 0
PHXII10:WAVE OPTICS

367788 If two sources have a randomly varying phase difference \(\phi(t)\), the resultant intensity will be given by

1 \(1 / 2 I_{0}\)
2 \(I_{0} / 2\)
3 \(2 I_{0}\)
4 \(I_{0} / \sqrt{2}\)
PHXII10:WAVE OPTICS

367789 Two sources of intensity \(I\) and \(4I\) are used in an interference experiment. The intensity at points where the waves from the two sources superpose with a phase difference.
(i) Zero, (ii) \(\pi /2\) and (iii) \(\pi \), are

1 \(5I,3I,0\)
2 \(5I,3I,2I\)
3 \(9I,5I,I\)
4 \(9I,5I,0\)
PHXII10:WAVE OPTICS

367786 Two waves originating from sources \(S_{1}\) and \(S_{2}\) having zero phase difference and common wavelength \(\lambda\) will show completely destructive interference at a point \(P\) if \(\left(S_{1} P-S_{2} P\right)\) is:

1 \(5 \lambda\)
2 \(2 \lambda\)
3 \(\dfrac{3 \lambda}{4}\)
4 \(11 \dfrac{\lambda}{2}\)
PHXII10:WAVE OPTICS

367787 The maximum constructive interference of 2 waves cannot occur if the phase difference is

1 \(2\,\pi \)
2 \(4\,\pi \)
3 \(5\,\pi \)
4 0
PHXII10:WAVE OPTICS

367788 If two sources have a randomly varying phase difference \(\phi(t)\), the resultant intensity will be given by

1 \(1 / 2 I_{0}\)
2 \(I_{0} / 2\)
3 \(2 I_{0}\)
4 \(I_{0} / \sqrt{2}\)
PHXII10:WAVE OPTICS

367789 Two sources of intensity \(I\) and \(4I\) are used in an interference experiment. The intensity at points where the waves from the two sources superpose with a phase difference.
(i) Zero, (ii) \(\pi /2\) and (iii) \(\pi \), are

1 \(5I,3I,0\)
2 \(5I,3I,2I\)
3 \(9I,5I,I\)
4 \(9I,5I,0\)
PHXII10:WAVE OPTICS

367786 Two waves originating from sources \(S_{1}\) and \(S_{2}\) having zero phase difference and common wavelength \(\lambda\) will show completely destructive interference at a point \(P\) if \(\left(S_{1} P-S_{2} P\right)\) is:

1 \(5 \lambda\)
2 \(2 \lambda\)
3 \(\dfrac{3 \lambda}{4}\)
4 \(11 \dfrac{\lambda}{2}\)
PHXII10:WAVE OPTICS

367787 The maximum constructive interference of 2 waves cannot occur if the phase difference is

1 \(2\,\pi \)
2 \(4\,\pi \)
3 \(5\,\pi \)
4 0
PHXII10:WAVE OPTICS

367788 If two sources have a randomly varying phase difference \(\phi(t)\), the resultant intensity will be given by

1 \(1 / 2 I_{0}\)
2 \(I_{0} / 2\)
3 \(2 I_{0}\)
4 \(I_{0} / \sqrt{2}\)
PHXII10:WAVE OPTICS

367789 Two sources of intensity \(I\) and \(4I\) are used in an interference experiment. The intensity at points where the waves from the two sources superpose with a phase difference.
(i) Zero, (ii) \(\pi /2\) and (iii) \(\pi \), are

1 \(5I,3I,0\)
2 \(5I,3I,2I\)
3 \(9I,5I,I\)
4 \(9I,5I,0\)