In a single-slit diffraction experiment, light of wavelength, \(\lambda=600\text{ nm}\) is used and the first minimum is observed at an angle, \(\theta=30^\circ.\) The width of the slit \((a)\) is:
1. \(1.2\) \(\mu \text{m}\)
2. \(1.5\) \(\mu \text{m}\)
3. \(1.0\) \(\mu \text{m}\)
4. \(1.8\) \(\mu \text{m}\)

Subtopic:  Diffraction |
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In standard YDSE phase difference between two rays reaching at points \(P\) and \(Q\) is \(\pi \over 3\) and \(\pi \over 2\) respectively. Ratio of resultant intensity at \(P\) and \(Q\) is equal to: 
1. \(3 \over 2\)
2. \(2 \over 3\)
3. \(1 \over 4\)
4. \(1 \over 2\)
 
Subtopic:  Young's Double Slit Experiment |
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In a YDSE experiment, fringe width is 2 mm when wavelength of light used is λ = 400 nm. Find the fringe width (in mm) when wavelength is 600 nm.
1. 1. 5 mm
2. 3 mm
3. 2.5 mm
4. 6 mm
Subtopic:  Young's Double Slit Experiment |
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Two polarisers \(P_1\) and \(P_2\) are placed such that the angle between their transmission axis is \(45^{\circ}\). Ordinary light is passed through \(P_1,\) \(I_1\) intensity is observed and when this light is passed through \(P_2,\) \(I_2\) intensity is observed. The ratio of \(\dfrac{I_1}{I_2}\) is:
1. \(\dfrac{4}{3}\) 2. \(\dfrac{3}{4}\)
3. \(2\) 4. \(\dfrac{1}{2}\)
Subtopic:  Polarization of Light |
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In a YDSE setup, a mica sheet of thickness \(t\) and refractive index \(\mu\) is inserted in front of one of the slits. The number of fringes by which the central fringe gets shifted is:
(Given: \(\lambda,\) \(D\) and \(d\) are wavelength of light, the distance between slits and screen and slit separation respectively.)
1. \({\dfrac{\mu t} {\lambda}}\) 2. \({\dfrac{\left({\mu-1}\right)t} {\lambda}}\)
3. \({\dfrac{\left({\mu+1}\right)t} {\lambda}}\) 4. \({\dfrac{\left({2\mu-1}\right)t} {\lambda}}\)
Subtopic:  Young's Double Slit Experiment |
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For destructive interference to occur between two monochromatic light waves of wavelength \(\lambda,\) the path difference between them should be: (where \(n=1,2,3,....\))
1. \(\dfrac{(2n-1)\lambda}{4}\) 2. \(2n \lambda \)
3. \(\dfrac{(2n-1)\lambda}{2}\) 4. \(n \lambda\)
Subtopic:  Interference vs Diffraction |
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A ray diverging from a point source forms a wavefront that is:
1. cylindrical 
2. spherical
3. plane 
4. cubical
Subtopic:  Huygens' Principle |
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Which of the following statements accurately describes Huygens' principle of secondary wavelets?

1. It helps to determine the focal length of a thin lens.
2. It provides the magnifying power of a microscope.
3. It serves as a geometric method to determine a wavefront.
4. It is used to calculate the diffraction pattern of light.
Subtopic:  Huygens' Principle |
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In the phenomenon of interference of light, what happens to the energy?

1. It is conserved but redistributed.
2. It is the same at every point.
3. It is not conserved.
4. It is created at the bright fringes.
Subtopic:  Superposition Principle |
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Unpolarised light of intensity \(X\) is incident on a polarising sheet. A second polaroid whose pass-axis makes an angle \(30^\circ\) with the pass-axis of the first polaroid is kept behind it. The intensity of the light that gets transmitted after the second polaroid is:
1. \(X\) 2. \(\dfrac{3X}{8}\)
3. \(\dfrac{X}{4}\) 4. \(\dfrac{X}{2}\)
Subtopic:  Polarization of Light |
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