368064
For sustained interference fringes in double slit experiment, essential conditions /is /are (a) Sources must be coherent (b) The intensities of the two sources must be equal. Here, the correct option / s / is / are
1 \({\rm{both}}\,{\mkern 1mu} a,\,b\)
2 only \(a\)
3 only \(b\)
4 neither \(a\) nor \(b\)
Explanation:
For sustained interference fringes in double slit experiment, essential condition is sources must be coherent.
PHXII10:WAVE OPTICS
368065
In a Young’s double slit experiment, the separation of the two slits is doubled. To keep the same spacing of fringes, the distance \(D\) of the screen from the slits should be made
368066
The width of two slits in young's experiment are in the ratio of \(9: 4\). What will be the intensity ratio of maxima and minima in the interference pattern?
1 \(1: 1\)
2 \(25: 1\)
3 \(5: 1\)
4 \(3: 2\)
Explanation:
Intensity ratio \(=\dfrac{(a+b)^{2}}{(a-b)^{2}}\) \(\therefore\) Intensity ratio \(=\left(\dfrac{r+1}{r-1}\right)^{2}\) \(=\left(\dfrac{\dfrac{3}{2}+1}{\dfrac{3}{2}-1}\right)^{2}\) Intensity ratio \(=25: 1\).
PHXII10:WAVE OPTICS
368067
The ratio of intensities at two points \(P\) and \(Q\) on the screen in a Young's double slit experiment where phase difference between two waves of same amplitude are \(\pi / 3\) and \(\pi / 2\), respectively are
1 \(3: 1\)
2 \(3: 2\)
3 \(1: 3\)
4 \(3: 1\)
Explanation:
Resultant intensity, \(I_{\text {net }}=I_{1}+I_{2}+2 \sqrt{I_{1} I_{2}} \cos \phi\) where \(\phi=\) phase difference. \(I_{1}=I_{0}+I_{0}+2 I_{0} \cos \dfrac{\pi}{3}\) for \(\left(\phi=\dfrac{\pi}{3}\right)\) \(I_{1}=2 I_{0}+2 I_{0} \times \dfrac{1}{2}=3 I_{0}\)\(I_{2}=I_{0}+I_{0}+2 I_{0} \cos \dfrac{\pi}{2}=2 I_{0}\) for \(\left(\phi=\dfrac{\pi}{2}\right)\) Hence, ratio between the two waves \(=\dfrac{I_{1}}{I_{2}}=\dfrac{3}{2} \dfrac{I_{0}}{I_{0}}=\dfrac{3}{2}\)
368064
For sustained interference fringes in double slit experiment, essential conditions /is /are (a) Sources must be coherent (b) The intensities of the two sources must be equal. Here, the correct option / s / is / are
1 \({\rm{both}}\,{\mkern 1mu} a,\,b\)
2 only \(a\)
3 only \(b\)
4 neither \(a\) nor \(b\)
Explanation:
For sustained interference fringes in double slit experiment, essential condition is sources must be coherent.
PHXII10:WAVE OPTICS
368065
In a Young’s double slit experiment, the separation of the two slits is doubled. To keep the same spacing of fringes, the distance \(D\) of the screen from the slits should be made
368066
The width of two slits in young's experiment are in the ratio of \(9: 4\). What will be the intensity ratio of maxima and minima in the interference pattern?
1 \(1: 1\)
2 \(25: 1\)
3 \(5: 1\)
4 \(3: 2\)
Explanation:
Intensity ratio \(=\dfrac{(a+b)^{2}}{(a-b)^{2}}\) \(\therefore\) Intensity ratio \(=\left(\dfrac{r+1}{r-1}\right)^{2}\) \(=\left(\dfrac{\dfrac{3}{2}+1}{\dfrac{3}{2}-1}\right)^{2}\) Intensity ratio \(=25: 1\).
PHXII10:WAVE OPTICS
368067
The ratio of intensities at two points \(P\) and \(Q\) on the screen in a Young's double slit experiment where phase difference between two waves of same amplitude are \(\pi / 3\) and \(\pi / 2\), respectively are
1 \(3: 1\)
2 \(3: 2\)
3 \(1: 3\)
4 \(3: 1\)
Explanation:
Resultant intensity, \(I_{\text {net }}=I_{1}+I_{2}+2 \sqrt{I_{1} I_{2}} \cos \phi\) where \(\phi=\) phase difference. \(I_{1}=I_{0}+I_{0}+2 I_{0} \cos \dfrac{\pi}{3}\) for \(\left(\phi=\dfrac{\pi}{3}\right)\) \(I_{1}=2 I_{0}+2 I_{0} \times \dfrac{1}{2}=3 I_{0}\)\(I_{2}=I_{0}+I_{0}+2 I_{0} \cos \dfrac{\pi}{2}=2 I_{0}\) for \(\left(\phi=\dfrac{\pi}{2}\right)\) Hence, ratio between the two waves \(=\dfrac{I_{1}}{I_{2}}=\dfrac{3}{2} \dfrac{I_{0}}{I_{0}}=\dfrac{3}{2}\)
368064
For sustained interference fringes in double slit experiment, essential conditions /is /are (a) Sources must be coherent (b) The intensities of the two sources must be equal. Here, the correct option / s / is / are
1 \({\rm{both}}\,{\mkern 1mu} a,\,b\)
2 only \(a\)
3 only \(b\)
4 neither \(a\) nor \(b\)
Explanation:
For sustained interference fringes in double slit experiment, essential condition is sources must be coherent.
PHXII10:WAVE OPTICS
368065
In a Young’s double slit experiment, the separation of the two slits is doubled. To keep the same spacing of fringes, the distance \(D\) of the screen from the slits should be made
368066
The width of two slits in young's experiment are in the ratio of \(9: 4\). What will be the intensity ratio of maxima and minima in the interference pattern?
1 \(1: 1\)
2 \(25: 1\)
3 \(5: 1\)
4 \(3: 2\)
Explanation:
Intensity ratio \(=\dfrac{(a+b)^{2}}{(a-b)^{2}}\) \(\therefore\) Intensity ratio \(=\left(\dfrac{r+1}{r-1}\right)^{2}\) \(=\left(\dfrac{\dfrac{3}{2}+1}{\dfrac{3}{2}-1}\right)^{2}\) Intensity ratio \(=25: 1\).
PHXII10:WAVE OPTICS
368067
The ratio of intensities at two points \(P\) and \(Q\) on the screen in a Young's double slit experiment where phase difference between two waves of same amplitude are \(\pi / 3\) and \(\pi / 2\), respectively are
1 \(3: 1\)
2 \(3: 2\)
3 \(1: 3\)
4 \(3: 1\)
Explanation:
Resultant intensity, \(I_{\text {net }}=I_{1}+I_{2}+2 \sqrt{I_{1} I_{2}} \cos \phi\) where \(\phi=\) phase difference. \(I_{1}=I_{0}+I_{0}+2 I_{0} \cos \dfrac{\pi}{3}\) for \(\left(\phi=\dfrac{\pi}{3}\right)\) \(I_{1}=2 I_{0}+2 I_{0} \times \dfrac{1}{2}=3 I_{0}\)\(I_{2}=I_{0}+I_{0}+2 I_{0} \cos \dfrac{\pi}{2}=2 I_{0}\) for \(\left(\phi=\dfrac{\pi}{2}\right)\) Hence, ratio between the two waves \(=\dfrac{I_{1}}{I_{2}}=\dfrac{3}{2} \dfrac{I_{0}}{I_{0}}=\dfrac{3}{2}\)
368064
For sustained interference fringes in double slit experiment, essential conditions /is /are (a) Sources must be coherent (b) The intensities of the two sources must be equal. Here, the correct option / s / is / are
1 \({\rm{both}}\,{\mkern 1mu} a,\,b\)
2 only \(a\)
3 only \(b\)
4 neither \(a\) nor \(b\)
Explanation:
For sustained interference fringes in double slit experiment, essential condition is sources must be coherent.
PHXII10:WAVE OPTICS
368065
In a Young’s double slit experiment, the separation of the two slits is doubled. To keep the same spacing of fringes, the distance \(D\) of the screen from the slits should be made
368066
The width of two slits in young's experiment are in the ratio of \(9: 4\). What will be the intensity ratio of maxima and minima in the interference pattern?
1 \(1: 1\)
2 \(25: 1\)
3 \(5: 1\)
4 \(3: 2\)
Explanation:
Intensity ratio \(=\dfrac{(a+b)^{2}}{(a-b)^{2}}\) \(\therefore\) Intensity ratio \(=\left(\dfrac{r+1}{r-1}\right)^{2}\) \(=\left(\dfrac{\dfrac{3}{2}+1}{\dfrac{3}{2}-1}\right)^{2}\) Intensity ratio \(=25: 1\).
PHXII10:WAVE OPTICS
368067
The ratio of intensities at two points \(P\) and \(Q\) on the screen in a Young's double slit experiment where phase difference between two waves of same amplitude are \(\pi / 3\) and \(\pi / 2\), respectively are
1 \(3: 1\)
2 \(3: 2\)
3 \(1: 3\)
4 \(3: 1\)
Explanation:
Resultant intensity, \(I_{\text {net }}=I_{1}+I_{2}+2 \sqrt{I_{1} I_{2}} \cos \phi\) where \(\phi=\) phase difference. \(I_{1}=I_{0}+I_{0}+2 I_{0} \cos \dfrac{\pi}{3}\) for \(\left(\phi=\dfrac{\pi}{3}\right)\) \(I_{1}=2 I_{0}+2 I_{0} \times \dfrac{1}{2}=3 I_{0}\)\(I_{2}=I_{0}+I_{0}+2 I_{0} \cos \dfrac{\pi}{2}=2 I_{0}\) for \(\left(\phi=\dfrac{\pi}{2}\right)\) Hence, ratio between the two waves \(=\dfrac{I_{1}}{I_{2}}=\dfrac{3}{2} \dfrac{I_{0}}{I_{0}}=\dfrac{3}{2}\)
