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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Given below are two statements: 
Assertion (A): Two separate lamps cannot produce a stable, visible interference pattern on the screen, even if they emit monochromatic light of identical wavelengths.
Reason (R): Any two ordinary lamps are not coherent, even though they emit light of the same wavelength.

Choose the correct option from the given ones: 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Interference vs Diffraction |
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Given below are two statements:
Statement I: If white light is used in a standard Young's double-slit experiment, then coloured fringes are formed on the screen.
Statement II: If white light is used in a standard Young's double-slit experiment, then the central fringe remains white.
 
1. Statement I is incorrect and Statement II is correct.
2. Both Statement I and Statement II are correct.
3. Both Statement I and Statement II are incorrect.
4. Statement I is correct and Statement II is incorrect.
Subtopic:  Young's Double Slit Experiment |
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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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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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If Young's double-slit experiment be performed under water \(\Big(\mu,\text{refractive index}={\Large\frac43}\Big),\) then the fringe width would:
1. decrease in size by a factor of \(\Large\frac{4}{3}\)
2. increase in size by a factor of \(\Large\frac{4}{3}\)
3. remain unchanged in size
4. increase in size by \(\sqrt{\dfrac{4}{3}}\)
Subtopic:  Young's Double Slit Experiment |
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Young's double slit experiment is conducted under water \(\bigg(\mu={\large\frac{4}{3}}\bigg)\) where the slit-separation is \(0.2~\text{mm}\) and the slit-screen distance is \(50~\text{cm}.\) Monochromatic light is incident onto the double-slit, normal to its plane.
\(20\) fringes are formed under water \(\bigg(\mu={\large\frac{4}{3}}\bigg)\) over a screen-width of \(3~\text{cm}.\) The frequency of light used is:
1. \(5\times10^{14}~\text{Hz}\)
2. \(3.75\times10^{14}~\text{Hz}\)
3. \(10^{15}~\text{Hz}\)
4. \(1.875\times10^{14}~\text{Hz}\)
Subtopic:  Young's Double Slit Experiment |
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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 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 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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