Young's Double Slit Experiment (YDSE)
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283345 In Young's double slits experiment, two coherent sources are placed \(0.90 \mathrm{~mm}\) apart and fringe is observed one meter away. If it produces second dark fringe at a distance of 1 \(\mathrm{mm}\) from central fringe, the wavelength of monochromatic light used would be

1 \(60 \times 10^{-4} \mathrm{~cm}\)
2 \(10 \times 10^{-4} \mathrm{~cm}\)
3 \(10 \times 10^{-5} \mathrm{~cm}\)
4 \(6 \times 10^{-5} \mathrm{~cm}\)
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283346 In YDSE there is a point \(P\) on the screen. What is the path difference at point \(P\). Given \(d=\) \(1 \mathrm{~mm}, \mathrm{y}=2 \mathrm{~mm}\) and \(D=1 \mathrm{~m}\).
original image

1 \(2 \times 10^{-6} \mathrm{~m}\)
2 \(3 \times 10^{-6} \mathrm{~m}\)
3 \(4 \times 10^{-6} \mathrm{~m}\)
4 \(5 \times 10^{-6} \mathrm{~m}\)
WAVE OPTICS

283347 In the figure shown \(S\) is the source of white light kept at a distance \(x_0\) from the plate of the slits. The source moves with a constant speed u towards the slits on the line perpendicular to the plane of the slits and passing through the slit \(S_1\). Find the instantaneous velocity (Magnitude and direction) of the central maxima at time \(t\) having range.
\(0 \leq \mathrm{t}<<\frac{\mathrm{x}_0-\mathrm{d}}{\mathrm{u}}\) Assume that \(\mathrm{D} \gg>\mathrm{d}\).
original image

1 \(\frac{\text { Ddu }}{\left(\mathrm{x}_0-\mathrm{ut}\right)^2}\) (downwards)
2 \(\frac{\text { Ddu }}{2\left(\mathrm{x}_0-\mathrm{ut}\right)^2}\) (downwards)
3 \(\frac{2 D d u}{3\left(x_0-u t\right)^2}\) (upwards)
4 None of these
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283348 Assertion: In YDSE, if a thin film is introduced in front of the upper slit, then the fringe pattern shifts in the downward direction.
Reason: In YDSE if the slit widths are unequal, the minima will be completely dark.

1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect
WAVE OPTICS

283349 In Young's double slit experiment of central fringe is \(\mathbf{I}_0\) and fringe width is \(\beta\). If a point is at a distance \(x\) from the central fringe, then the intensity at that point is

1 \(\mathrm{I}_0 \cos ^2\left(\frac{\pi \mathrm{x}}{\beta}\right)\)
2 \(I_0 \cos ^2\left(\frac{x}{\beta}\right)\)
3 \(\frac{I_0}{4} \cos ^2\left(\frac{\pi \mathrm{x}}{\beta}\right)\)
4 \(I_0 \cos ^2\left(\frac{\pi \beta}{\mathrm{x}}\right)\)
WAVE OPTICS

283345 In Young's double slits experiment, two coherent sources are placed \(0.90 \mathrm{~mm}\) apart and fringe is observed one meter away. If it produces second dark fringe at a distance of 1 \(\mathrm{mm}\) from central fringe, the wavelength of monochromatic light used would be

1 \(60 \times 10^{-4} \mathrm{~cm}\)
2 \(10 \times 10^{-4} \mathrm{~cm}\)
3 \(10 \times 10^{-5} \mathrm{~cm}\)
4 \(6 \times 10^{-5} \mathrm{~cm}\)
WAVE OPTICS

283346 In YDSE there is a point \(P\) on the screen. What is the path difference at point \(P\). Given \(d=\) \(1 \mathrm{~mm}, \mathrm{y}=2 \mathrm{~mm}\) and \(D=1 \mathrm{~m}\).
original image

1 \(2 \times 10^{-6} \mathrm{~m}\)
2 \(3 \times 10^{-6} \mathrm{~m}\)
3 \(4 \times 10^{-6} \mathrm{~m}\)
4 \(5 \times 10^{-6} \mathrm{~m}\)
WAVE OPTICS

283347 In the figure shown \(S\) is the source of white light kept at a distance \(x_0\) from the plate of the slits. The source moves with a constant speed u towards the slits on the line perpendicular to the plane of the slits and passing through the slit \(S_1\). Find the instantaneous velocity (Magnitude and direction) of the central maxima at time \(t\) having range.
\(0 \leq \mathrm{t}<<\frac{\mathrm{x}_0-\mathrm{d}}{\mathrm{u}}\) Assume that \(\mathrm{D} \gg>\mathrm{d}\).
original image

1 \(\frac{\text { Ddu }}{\left(\mathrm{x}_0-\mathrm{ut}\right)^2}\) (downwards)
2 \(\frac{\text { Ddu }}{2\left(\mathrm{x}_0-\mathrm{ut}\right)^2}\) (downwards)
3 \(\frac{2 D d u}{3\left(x_0-u t\right)^2}\) (upwards)
4 None of these
WAVE OPTICS

283348 Assertion: In YDSE, if a thin film is introduced in front of the upper slit, then the fringe pattern shifts in the downward direction.
Reason: In YDSE if the slit widths are unequal, the minima will be completely dark.

1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect
WAVE OPTICS

283349 In Young's double slit experiment of central fringe is \(\mathbf{I}_0\) and fringe width is \(\beta\). If a point is at a distance \(x\) from the central fringe, then the intensity at that point is

1 \(\mathrm{I}_0 \cos ^2\left(\frac{\pi \mathrm{x}}{\beta}\right)\)
2 \(I_0 \cos ^2\left(\frac{x}{\beta}\right)\)
3 \(\frac{I_0}{4} \cos ^2\left(\frac{\pi \mathrm{x}}{\beta}\right)\)
4 \(I_0 \cos ^2\left(\frac{\pi \beta}{\mathrm{x}}\right)\)
WAVE OPTICS

283345 In Young's double slits experiment, two coherent sources are placed \(0.90 \mathrm{~mm}\) apart and fringe is observed one meter away. If it produces second dark fringe at a distance of 1 \(\mathrm{mm}\) from central fringe, the wavelength of monochromatic light used would be

1 \(60 \times 10^{-4} \mathrm{~cm}\)
2 \(10 \times 10^{-4} \mathrm{~cm}\)
3 \(10 \times 10^{-5} \mathrm{~cm}\)
4 \(6 \times 10^{-5} \mathrm{~cm}\)
WAVE OPTICS

283346 In YDSE there is a point \(P\) on the screen. What is the path difference at point \(P\). Given \(d=\) \(1 \mathrm{~mm}, \mathrm{y}=2 \mathrm{~mm}\) and \(D=1 \mathrm{~m}\).
original image

1 \(2 \times 10^{-6} \mathrm{~m}\)
2 \(3 \times 10^{-6} \mathrm{~m}\)
3 \(4 \times 10^{-6} \mathrm{~m}\)
4 \(5 \times 10^{-6} \mathrm{~m}\)
WAVE OPTICS

283347 In the figure shown \(S\) is the source of white light kept at a distance \(x_0\) from the plate of the slits. The source moves with a constant speed u towards the slits on the line perpendicular to the plane of the slits and passing through the slit \(S_1\). Find the instantaneous velocity (Magnitude and direction) of the central maxima at time \(t\) having range.
\(0 \leq \mathrm{t}<<\frac{\mathrm{x}_0-\mathrm{d}}{\mathrm{u}}\) Assume that \(\mathrm{D} \gg>\mathrm{d}\).
original image

1 \(\frac{\text { Ddu }}{\left(\mathrm{x}_0-\mathrm{ut}\right)^2}\) (downwards)
2 \(\frac{\text { Ddu }}{2\left(\mathrm{x}_0-\mathrm{ut}\right)^2}\) (downwards)
3 \(\frac{2 D d u}{3\left(x_0-u t\right)^2}\) (upwards)
4 None of these
WAVE OPTICS

283348 Assertion: In YDSE, if a thin film is introduced in front of the upper slit, then the fringe pattern shifts in the downward direction.
Reason: In YDSE if the slit widths are unequal, the minima will be completely dark.

1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect
WAVE OPTICS

283349 In Young's double slit experiment of central fringe is \(\mathbf{I}_0\) and fringe width is \(\beta\). If a point is at a distance \(x\) from the central fringe, then the intensity at that point is

1 \(\mathrm{I}_0 \cos ^2\left(\frac{\pi \mathrm{x}}{\beta}\right)\)
2 \(I_0 \cos ^2\left(\frac{x}{\beta}\right)\)
3 \(\frac{I_0}{4} \cos ^2\left(\frac{\pi \mathrm{x}}{\beta}\right)\)
4 \(I_0 \cos ^2\left(\frac{\pi \beta}{\mathrm{x}}\right)\)
WAVE OPTICS

283345 In Young's double slits experiment, two coherent sources are placed \(0.90 \mathrm{~mm}\) apart and fringe is observed one meter away. If it produces second dark fringe at a distance of 1 \(\mathrm{mm}\) from central fringe, the wavelength of monochromatic light used would be

1 \(60 \times 10^{-4} \mathrm{~cm}\)
2 \(10 \times 10^{-4} \mathrm{~cm}\)
3 \(10 \times 10^{-5} \mathrm{~cm}\)
4 \(6 \times 10^{-5} \mathrm{~cm}\)
WAVE OPTICS

283346 In YDSE there is a point \(P\) on the screen. What is the path difference at point \(P\). Given \(d=\) \(1 \mathrm{~mm}, \mathrm{y}=2 \mathrm{~mm}\) and \(D=1 \mathrm{~m}\).
original image

1 \(2 \times 10^{-6} \mathrm{~m}\)
2 \(3 \times 10^{-6} \mathrm{~m}\)
3 \(4 \times 10^{-6} \mathrm{~m}\)
4 \(5 \times 10^{-6} \mathrm{~m}\)
WAVE OPTICS

283347 In the figure shown \(S\) is the source of white light kept at a distance \(x_0\) from the plate of the slits. The source moves with a constant speed u towards the slits on the line perpendicular to the plane of the slits and passing through the slit \(S_1\). Find the instantaneous velocity (Magnitude and direction) of the central maxima at time \(t\) having range.
\(0 \leq \mathrm{t}<<\frac{\mathrm{x}_0-\mathrm{d}}{\mathrm{u}}\) Assume that \(\mathrm{D} \gg>\mathrm{d}\).
original image

1 \(\frac{\text { Ddu }}{\left(\mathrm{x}_0-\mathrm{ut}\right)^2}\) (downwards)
2 \(\frac{\text { Ddu }}{2\left(\mathrm{x}_0-\mathrm{ut}\right)^2}\) (downwards)
3 \(\frac{2 D d u}{3\left(x_0-u t\right)^2}\) (upwards)
4 None of these
WAVE OPTICS

283348 Assertion: In YDSE, if a thin film is introduced in front of the upper slit, then the fringe pattern shifts in the downward direction.
Reason: In YDSE if the slit widths are unequal, the minima will be completely dark.

1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect
WAVE OPTICS

283349 In Young's double slit experiment of central fringe is \(\mathbf{I}_0\) and fringe width is \(\beta\). If a point is at a distance \(x\) from the central fringe, then the intensity at that point is

1 \(\mathrm{I}_0 \cos ^2\left(\frac{\pi \mathrm{x}}{\beta}\right)\)
2 \(I_0 \cos ^2\left(\frac{x}{\beta}\right)\)
3 \(\frac{I_0}{4} \cos ^2\left(\frac{\pi \mathrm{x}}{\beta}\right)\)
4 \(I_0 \cos ^2\left(\frac{\pi \beta}{\mathrm{x}}\right)\)
WAVE OPTICS

283345 In Young's double slits experiment, two coherent sources are placed \(0.90 \mathrm{~mm}\) apart and fringe is observed one meter away. If it produces second dark fringe at a distance of 1 \(\mathrm{mm}\) from central fringe, the wavelength of monochromatic light used would be

1 \(60 \times 10^{-4} \mathrm{~cm}\)
2 \(10 \times 10^{-4} \mathrm{~cm}\)
3 \(10 \times 10^{-5} \mathrm{~cm}\)
4 \(6 \times 10^{-5} \mathrm{~cm}\)
WAVE OPTICS

283346 In YDSE there is a point \(P\) on the screen. What is the path difference at point \(P\). Given \(d=\) \(1 \mathrm{~mm}, \mathrm{y}=2 \mathrm{~mm}\) and \(D=1 \mathrm{~m}\).
original image

1 \(2 \times 10^{-6} \mathrm{~m}\)
2 \(3 \times 10^{-6} \mathrm{~m}\)
3 \(4 \times 10^{-6} \mathrm{~m}\)
4 \(5 \times 10^{-6} \mathrm{~m}\)
WAVE OPTICS

283347 In the figure shown \(S\) is the source of white light kept at a distance \(x_0\) from the plate of the slits. The source moves with a constant speed u towards the slits on the line perpendicular to the plane of the slits and passing through the slit \(S_1\). Find the instantaneous velocity (Magnitude and direction) of the central maxima at time \(t\) having range.
\(0 \leq \mathrm{t}<<\frac{\mathrm{x}_0-\mathrm{d}}{\mathrm{u}}\) Assume that \(\mathrm{D} \gg>\mathrm{d}\).
original image

1 \(\frac{\text { Ddu }}{\left(\mathrm{x}_0-\mathrm{ut}\right)^2}\) (downwards)
2 \(\frac{\text { Ddu }}{2\left(\mathrm{x}_0-\mathrm{ut}\right)^2}\) (downwards)
3 \(\frac{2 D d u}{3\left(x_0-u t\right)^2}\) (upwards)
4 None of these
WAVE OPTICS

283348 Assertion: In YDSE, if a thin film is introduced in front of the upper slit, then the fringe pattern shifts in the downward direction.
Reason: In YDSE if the slit widths are unequal, the minima will be completely dark.

1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect
WAVE OPTICS

283349 In Young's double slit experiment of central fringe is \(\mathbf{I}_0\) and fringe width is \(\beta\). If a point is at a distance \(x\) from the central fringe, then the intensity at that point is

1 \(\mathrm{I}_0 \cos ^2\left(\frac{\pi \mathrm{x}}{\beta}\right)\)
2 \(I_0 \cos ^2\left(\frac{x}{\beta}\right)\)
3 \(\frac{I_0}{4} \cos ^2\left(\frac{\pi \mathrm{x}}{\beta}\right)\)
4 \(I_0 \cos ^2\left(\frac{\pi \beta}{\mathrm{x}}\right)\)