Young’s Double Slit Experiment
PHXII10:WAVE OPTICS

367989 In Young's double slit experiment, \(5^{\text {th }}\) dark fringe is obtained at a point. If a thin transparent film is placed in the path of one of waves, then \(7^{\text {th }}\) bright fringe is obtained at the same point. The thickness of the film in terms of wavelength \(\lambda\) and refractive index \(\mu\) will be

1 \(\dfrac{1.5 \lambda}{(\mu-1)}\)
2 \(1.5(\mu-1) \cdot \lambda\)
3 \(2.5(\mu-1) \lambda\)
4 \(\dfrac{2.5 \lambda}{(\mu-1)}\)
PHXII10:WAVE OPTICS

367990 Assertion :
In Young's double slit experiment, the fringes become indistinct if one of the slits is covered with cellophane paper.
Reason :
The cellophane paper decrease the wavelength of light.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII10:WAVE OPTICS

367991 in a Young's double slit experiment, one of the slit is covered with a transparent sheet of thickness \(3.6 \times {10^{ - 3}}\;cm\) due to which position of central fringe shifts to a position originally occupied by 30th bright fringe. The refractive index of the sheet, if \(\lambda = 6000\mathop A\limits^ \circ \) is

1 1.5
2 1.2
3 1.3
4 1.7
PHXII10:WAVE OPTICS

367992 A monochromatic beam of light of 6000 \( \mathop A^{~~\circ} \) is used in \(YDSE\) set-up. The two slits are covered with two thin films of equal thickness \({t}\) but of different refractive indices as shown in the figure. Considering the intensity of the incident beam on the slits to be \({I_{0}}\), find the point on the screen at which intensity is \({I_{0}}\) and is just above the central maxima. (Assume that there is no change in intensity of the light after passing through the films.)
supporting img
Consider \({t=6 \mu {m}, d=1 {~mm}}\), and \({D=1 {~m}}\), where \({d}\) and \({D}\) have their usual meaning. Give your answer in \(mm\).

1 \(20\,mm\)
2 \(50\,mm\)
3 \(30\,mm\)
4 \(40\,mm\)
PHXII10:WAVE OPTICS

367989 In Young's double slit experiment, \(5^{\text {th }}\) dark fringe is obtained at a point. If a thin transparent film is placed in the path of one of waves, then \(7^{\text {th }}\) bright fringe is obtained at the same point. The thickness of the film in terms of wavelength \(\lambda\) and refractive index \(\mu\) will be

1 \(\dfrac{1.5 \lambda}{(\mu-1)}\)
2 \(1.5(\mu-1) \cdot \lambda\)
3 \(2.5(\mu-1) \lambda\)
4 \(\dfrac{2.5 \lambda}{(\mu-1)}\)
PHXII10:WAVE OPTICS

367990 Assertion :
In Young's double slit experiment, the fringes become indistinct if one of the slits is covered with cellophane paper.
Reason :
The cellophane paper decrease the wavelength of light.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII10:WAVE OPTICS

367991 in a Young's double slit experiment, one of the slit is covered with a transparent sheet of thickness \(3.6 \times {10^{ - 3}}\;cm\) due to which position of central fringe shifts to a position originally occupied by 30th bright fringe. The refractive index of the sheet, if \(\lambda = 6000\mathop A\limits^ \circ \) is

1 1.5
2 1.2
3 1.3
4 1.7
PHXII10:WAVE OPTICS

367992 A monochromatic beam of light of 6000 \( \mathop A^{~~\circ} \) is used in \(YDSE\) set-up. The two slits are covered with two thin films of equal thickness \({t}\) but of different refractive indices as shown in the figure. Considering the intensity of the incident beam on the slits to be \({I_{0}}\), find the point on the screen at which intensity is \({I_{0}}\) and is just above the central maxima. (Assume that there is no change in intensity of the light after passing through the films.)
supporting img
Consider \({t=6 \mu {m}, d=1 {~mm}}\), and \({D=1 {~m}}\), where \({d}\) and \({D}\) have their usual meaning. Give your answer in \(mm\).

1 \(20\,mm\)
2 \(50\,mm\)
3 \(30\,mm\)
4 \(40\,mm\)
PHXII10:WAVE OPTICS

367989 In Young's double slit experiment, \(5^{\text {th }}\) dark fringe is obtained at a point. If a thin transparent film is placed in the path of one of waves, then \(7^{\text {th }}\) bright fringe is obtained at the same point. The thickness of the film in terms of wavelength \(\lambda\) and refractive index \(\mu\) will be

1 \(\dfrac{1.5 \lambda}{(\mu-1)}\)
2 \(1.5(\mu-1) \cdot \lambda\)
3 \(2.5(\mu-1) \lambda\)
4 \(\dfrac{2.5 \lambda}{(\mu-1)}\)
PHXII10:WAVE OPTICS

367990 Assertion :
In Young's double slit experiment, the fringes become indistinct if one of the slits is covered with cellophane paper.
Reason :
The cellophane paper decrease the wavelength of light.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII10:WAVE OPTICS

367991 in a Young's double slit experiment, one of the slit is covered with a transparent sheet of thickness \(3.6 \times {10^{ - 3}}\;cm\) due to which position of central fringe shifts to a position originally occupied by 30th bright fringe. The refractive index of the sheet, if \(\lambda = 6000\mathop A\limits^ \circ \) is

1 1.5
2 1.2
3 1.3
4 1.7
PHXII10:WAVE OPTICS

367992 A monochromatic beam of light of 6000 \( \mathop A^{~~\circ} \) is used in \(YDSE\) set-up. The two slits are covered with two thin films of equal thickness \({t}\) but of different refractive indices as shown in the figure. Considering the intensity of the incident beam on the slits to be \({I_{0}}\), find the point on the screen at which intensity is \({I_{0}}\) and is just above the central maxima. (Assume that there is no change in intensity of the light after passing through the films.)
supporting img
Consider \({t=6 \mu {m}, d=1 {~mm}}\), and \({D=1 {~m}}\), where \({d}\) and \({D}\) have their usual meaning. Give your answer in \(mm\).

1 \(20\,mm\)
2 \(50\,mm\)
3 \(30\,mm\)
4 \(40\,mm\)
PHXII10:WAVE OPTICS

367989 In Young's double slit experiment, \(5^{\text {th }}\) dark fringe is obtained at a point. If a thin transparent film is placed in the path of one of waves, then \(7^{\text {th }}\) bright fringe is obtained at the same point. The thickness of the film in terms of wavelength \(\lambda\) and refractive index \(\mu\) will be

1 \(\dfrac{1.5 \lambda}{(\mu-1)}\)
2 \(1.5(\mu-1) \cdot \lambda\)
3 \(2.5(\mu-1) \lambda\)
4 \(\dfrac{2.5 \lambda}{(\mu-1)}\)
PHXII10:WAVE OPTICS

367990 Assertion :
In Young's double slit experiment, the fringes become indistinct if one of the slits is covered with cellophane paper.
Reason :
The cellophane paper decrease the wavelength of light.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII10:WAVE OPTICS

367991 in a Young's double slit experiment, one of the slit is covered with a transparent sheet of thickness \(3.6 \times {10^{ - 3}}\;cm\) due to which position of central fringe shifts to a position originally occupied by 30th bright fringe. The refractive index of the sheet, if \(\lambda = 6000\mathop A\limits^ \circ \) is

1 1.5
2 1.2
3 1.3
4 1.7
PHXII10:WAVE OPTICS

367992 A monochromatic beam of light of 6000 \( \mathop A^{~~\circ} \) is used in \(YDSE\) set-up. The two slits are covered with two thin films of equal thickness \({t}\) but of different refractive indices as shown in the figure. Considering the intensity of the incident beam on the slits to be \({I_{0}}\), find the point on the screen at which intensity is \({I_{0}}\) and is just above the central maxima. (Assume that there is no change in intensity of the light after passing through the films.)
supporting img
Consider \({t=6 \mu {m}, d=1 {~mm}}\), and \({D=1 {~m}}\), where \({d}\) and \({D}\) have their usual meaning. Give your answer in \(mm\).

1 \(20\,mm\)
2 \(50\,mm\)
3 \(30\,mm\)
4 \(40\,mm\)