Young’s Double Slit Experiment
PHXII10:WAVE OPTICS

368111 Assertion :
In Young’s experiment, for two coherent sources, each of intensity \({I_0}\), the resultant intensity is given by \(I = 4{I_0}{\cos ^2}\frac{\phi }{2}\)
Reason :
Ratio of maximum to minimum intensity is \(\frac{{{I_{\max }}}}{{{I_{\min }}}} = \frac{{{{\left( {\sqrt {{I_1}} + \sqrt {{I_2}} } \right)}^2}}}{{{{\left( {\sqrt {{I_1}} - \sqrt {{I_2}} } \right)}^2}}}.\)

1 Both Assertion and Reasons are true and the Reason is a correct explanation of the Assertion.
2 Both Assertion and Reason are true but Reason is not a correct explanation of the Assertion.
3 Assertion is true but the Reason is false.
4 Assertion is false but Reason is true.
PHXII10:WAVE OPTICS

368112 Statement A :
Interference pattern is made by using yellow light instead of red light, the fringes becomes narrower.
Statement B :
In \(YDSE\), fringe width is given by \(\beta = \frac{{D\lambda }}{d}\).

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXII10:WAVE OPTICS

368113 Young's double slit experiment is conducted with light of wavelength \(\lambda\). The intensity of the bright fringe is \(I_{0}\). The intensity at a point where path difference is \(\lambda / 4\) is given by

1 Zero
2 \(I_{0} / 8\)
3 \(I_{0} / 4\)
4 \(I_{0} / 2\)
PHXII10:WAVE OPTICS

368114 In Young's double slit experiment, one of the slit is wider than the other, so that amplitude of the light from one slit is double that of from the other slit. If \(I_{m}\) be the maximum intensity, the resultant intensity \(I\) when they interfere at phase difference \(\phi\) is given by

1 \(\dfrac{I_{m}}{9}(4+5 \cos \phi)\)
2 \(\dfrac{I_{m}}{9}\left(1+8 \cos ^{2} \dfrac{\phi}{2}\right)\)
3 \(\dfrac{I_{m}}{5}\left(1+4 \cos ^{2} \dfrac{\phi}{2}\right)\)
4 \(\dfrac{I_{m}}{3}\left(1+2 \cos ^{2} \dfrac{\phi}{2}\right)\)
PHXII10:WAVE OPTICS

368111 Assertion :
In Young’s experiment, for two coherent sources, each of intensity \({I_0}\), the resultant intensity is given by \(I = 4{I_0}{\cos ^2}\frac{\phi }{2}\)
Reason :
Ratio of maximum to minimum intensity is \(\frac{{{I_{\max }}}}{{{I_{\min }}}} = \frac{{{{\left( {\sqrt {{I_1}} + \sqrt {{I_2}} } \right)}^2}}}{{{{\left( {\sqrt {{I_1}} - \sqrt {{I_2}} } \right)}^2}}}.\)

1 Both Assertion and Reasons are true and the Reason is a correct explanation of the Assertion.
2 Both Assertion and Reason are true but Reason is not a correct explanation of the Assertion.
3 Assertion is true but the Reason is false.
4 Assertion is false but Reason is true.
PHXII10:WAVE OPTICS

368112 Statement A :
Interference pattern is made by using yellow light instead of red light, the fringes becomes narrower.
Statement B :
In \(YDSE\), fringe width is given by \(\beta = \frac{{D\lambda }}{d}\).

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXII10:WAVE OPTICS

368113 Young's double slit experiment is conducted with light of wavelength \(\lambda\). The intensity of the bright fringe is \(I_{0}\). The intensity at a point where path difference is \(\lambda / 4\) is given by

1 Zero
2 \(I_{0} / 8\)
3 \(I_{0} / 4\)
4 \(I_{0} / 2\)
PHXII10:WAVE OPTICS

368114 In Young's double slit experiment, one of the slit is wider than the other, so that amplitude of the light from one slit is double that of from the other slit. If \(I_{m}\) be the maximum intensity, the resultant intensity \(I\) when they interfere at phase difference \(\phi\) is given by

1 \(\dfrac{I_{m}}{9}(4+5 \cos \phi)\)
2 \(\dfrac{I_{m}}{9}\left(1+8 \cos ^{2} \dfrac{\phi}{2}\right)\)
3 \(\dfrac{I_{m}}{5}\left(1+4 \cos ^{2} \dfrac{\phi}{2}\right)\)
4 \(\dfrac{I_{m}}{3}\left(1+2 \cos ^{2} \dfrac{\phi}{2}\right)\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII10:WAVE OPTICS

368111 Assertion :
In Young’s experiment, for two coherent sources, each of intensity \({I_0}\), the resultant intensity is given by \(I = 4{I_0}{\cos ^2}\frac{\phi }{2}\)
Reason :
Ratio of maximum to minimum intensity is \(\frac{{{I_{\max }}}}{{{I_{\min }}}} = \frac{{{{\left( {\sqrt {{I_1}} + \sqrt {{I_2}} } \right)}^2}}}{{{{\left( {\sqrt {{I_1}} - \sqrt {{I_2}} } \right)}^2}}}.\)

1 Both Assertion and Reasons are true and the Reason is a correct explanation of the Assertion.
2 Both Assertion and Reason are true but Reason is not a correct explanation of the Assertion.
3 Assertion is true but the Reason is false.
4 Assertion is false but Reason is true.
PHXII10:WAVE OPTICS

368112 Statement A :
Interference pattern is made by using yellow light instead of red light, the fringes becomes narrower.
Statement B :
In \(YDSE\), fringe width is given by \(\beta = \frac{{D\lambda }}{d}\).

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXII10:WAVE OPTICS

368113 Young's double slit experiment is conducted with light of wavelength \(\lambda\). The intensity of the bright fringe is \(I_{0}\). The intensity at a point where path difference is \(\lambda / 4\) is given by

1 Zero
2 \(I_{0} / 8\)
3 \(I_{0} / 4\)
4 \(I_{0} / 2\)
PHXII10:WAVE OPTICS

368114 In Young's double slit experiment, one of the slit is wider than the other, so that amplitude of the light from one slit is double that of from the other slit. If \(I_{m}\) be the maximum intensity, the resultant intensity \(I\) when they interfere at phase difference \(\phi\) is given by

1 \(\dfrac{I_{m}}{9}(4+5 \cos \phi)\)
2 \(\dfrac{I_{m}}{9}\left(1+8 \cos ^{2} \dfrac{\phi}{2}\right)\)
3 \(\dfrac{I_{m}}{5}\left(1+4 \cos ^{2} \dfrac{\phi}{2}\right)\)
4 \(\dfrac{I_{m}}{3}\left(1+2 \cos ^{2} \dfrac{\phi}{2}\right)\)
PHXII10:WAVE OPTICS

368111 Assertion :
In Young’s experiment, for two coherent sources, each of intensity \({I_0}\), the resultant intensity is given by \(I = 4{I_0}{\cos ^2}\frac{\phi }{2}\)
Reason :
Ratio of maximum to minimum intensity is \(\frac{{{I_{\max }}}}{{{I_{\min }}}} = \frac{{{{\left( {\sqrt {{I_1}} + \sqrt {{I_2}} } \right)}^2}}}{{{{\left( {\sqrt {{I_1}} - \sqrt {{I_2}} } \right)}^2}}}.\)

1 Both Assertion and Reasons are true and the Reason is a correct explanation of the Assertion.
2 Both Assertion and Reason are true but Reason is not a correct explanation of the Assertion.
3 Assertion is true but the Reason is false.
4 Assertion is false but Reason is true.
PHXII10:WAVE OPTICS

368112 Statement A :
Interference pattern is made by using yellow light instead of red light, the fringes becomes narrower.
Statement B :
In \(YDSE\), fringe width is given by \(\beta = \frac{{D\lambda }}{d}\).

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXII10:WAVE OPTICS

368113 Young's double slit experiment is conducted with light of wavelength \(\lambda\). The intensity of the bright fringe is \(I_{0}\). The intensity at a point where path difference is \(\lambda / 4\) is given by

1 Zero
2 \(I_{0} / 8\)
3 \(I_{0} / 4\)
4 \(I_{0} / 2\)
PHXII10:WAVE OPTICS

368114 In Young's double slit experiment, one of the slit is wider than the other, so that amplitude of the light from one slit is double that of from the other slit. If \(I_{m}\) be the maximum intensity, the resultant intensity \(I\) when they interfere at phase difference \(\phi\) is given by

1 \(\dfrac{I_{m}}{9}(4+5 \cos \phi)\)
2 \(\dfrac{I_{m}}{9}\left(1+8 \cos ^{2} \dfrac{\phi}{2}\right)\)
3 \(\dfrac{I_{m}}{5}\left(1+4 \cos ^{2} \dfrac{\phi}{2}\right)\)
4 \(\dfrac{I_{m}}{3}\left(1+2 \cos ^{2} \dfrac{\phi}{2}\right)\)