Coherent Sources of Light and interference of Light Constructive, Distractive
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283213 In Young's experiment, the third bright band for light of wavelength \(6000 \AA\) coincides with the fourth bright band for another source of light in the same arrangement. Then the wavelength of second source is

1 \(3600 \AA\)
2 \(4000 \AA\)
3 \(5000 \AA\)
4 \(4500 \AA\)
5 \(5500 \AA\)
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283214 In Young's experiment, using red light \((\lambda=\) \(6600 \AA), 60\) fringes are seen in the field of view. How many fringes will be seen by using violet light \((\lambda=\mathbf{4 4 0 0} \AA)\) ?

1 10
2 20
3 45
4 90
5 35
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283215 Let a beam of wavelength \(\lambda\) falls on parallel reflecting planes with separation \(d\), then the angle \(\theta\) that the beam should make with the planes so that reflected beams from successive planes may interfere constructively should be (where, \(\mathbf{n}=1,2, \ldots\) )
original image

1 \(\cos ^{-1}\left(\frac{\mathrm{n} \lambda}{2 \mathrm{~d}}\right)\)
2 \(\sin ^{-1}\left(\frac{\mathrm{n} \lambda}{2 \mathrm{~d}}\right)\)
3 \(\sin ^{-1}\left(\frac{\mathrm{n} \lambda}{\mathrm{d}}\right)\)
4 \(\tan ^{-1}\left(\frac{\mathrm{n} \lambda}{\mathrm{d}}\right)\)
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283216 The path difference between two wavefronts emitted by coherent sources of wavelength 5460 \(\AA\) is 2.1 micron. The phase difference between the wavefronts at that point is

1 \(7.692 \mathrm{rad}\)
2 \(7.692 \pi \mathrm{rad}\)
3 \(\frac{7.692}{\pi} \mathrm{rad}\)
4 \(\frac{7.692}{3 \pi} \mathrm{rad}\)
WAVE OPTICS

283213 In Young's experiment, the third bright band for light of wavelength \(6000 \AA\) coincides with the fourth bright band for another source of light in the same arrangement. Then the wavelength of second source is

1 \(3600 \AA\)
2 \(4000 \AA\)
3 \(5000 \AA\)
4 \(4500 \AA\)
5 \(5500 \AA\)
WAVE OPTICS

283214 In Young's experiment, using red light \((\lambda=\) \(6600 \AA), 60\) fringes are seen in the field of view. How many fringes will be seen by using violet light \((\lambda=\mathbf{4 4 0 0} \AA)\) ?

1 10
2 20
3 45
4 90
5 35
WAVE OPTICS

283215 Let a beam of wavelength \(\lambda\) falls on parallel reflecting planes with separation \(d\), then the angle \(\theta\) that the beam should make with the planes so that reflected beams from successive planes may interfere constructively should be (where, \(\mathbf{n}=1,2, \ldots\) )
original image

1 \(\cos ^{-1}\left(\frac{\mathrm{n} \lambda}{2 \mathrm{~d}}\right)\)
2 \(\sin ^{-1}\left(\frac{\mathrm{n} \lambda}{2 \mathrm{~d}}\right)\)
3 \(\sin ^{-1}\left(\frac{\mathrm{n} \lambda}{\mathrm{d}}\right)\)
4 \(\tan ^{-1}\left(\frac{\mathrm{n} \lambda}{\mathrm{d}}\right)\)
WAVE OPTICS

283216 The path difference between two wavefronts emitted by coherent sources of wavelength 5460 \(\AA\) is 2.1 micron. The phase difference between the wavefronts at that point is

1 \(7.692 \mathrm{rad}\)
2 \(7.692 \pi \mathrm{rad}\)
3 \(\frac{7.692}{\pi} \mathrm{rad}\)
4 \(\frac{7.692}{3 \pi} \mathrm{rad}\)
WAVE OPTICS

283213 In Young's experiment, the third bright band for light of wavelength \(6000 \AA\) coincides with the fourth bright band for another source of light in the same arrangement. Then the wavelength of second source is

1 \(3600 \AA\)
2 \(4000 \AA\)
3 \(5000 \AA\)
4 \(4500 \AA\)
5 \(5500 \AA\)
WAVE OPTICS

283214 In Young's experiment, using red light \((\lambda=\) \(6600 \AA), 60\) fringes are seen in the field of view. How many fringes will be seen by using violet light \((\lambda=\mathbf{4 4 0 0} \AA)\) ?

1 10
2 20
3 45
4 90
5 35
WAVE OPTICS

283215 Let a beam of wavelength \(\lambda\) falls on parallel reflecting planes with separation \(d\), then the angle \(\theta\) that the beam should make with the planes so that reflected beams from successive planes may interfere constructively should be (where, \(\mathbf{n}=1,2, \ldots\) )
original image

1 \(\cos ^{-1}\left(\frac{\mathrm{n} \lambda}{2 \mathrm{~d}}\right)\)
2 \(\sin ^{-1}\left(\frac{\mathrm{n} \lambda}{2 \mathrm{~d}}\right)\)
3 \(\sin ^{-1}\left(\frac{\mathrm{n} \lambda}{\mathrm{d}}\right)\)
4 \(\tan ^{-1}\left(\frac{\mathrm{n} \lambda}{\mathrm{d}}\right)\)
WAVE OPTICS

283216 The path difference between two wavefronts emitted by coherent sources of wavelength 5460 \(\AA\) is 2.1 micron. The phase difference between the wavefronts at that point is

1 \(7.692 \mathrm{rad}\)
2 \(7.692 \pi \mathrm{rad}\)
3 \(\frac{7.692}{\pi} \mathrm{rad}\)
4 \(\frac{7.692}{3 \pi} \mathrm{rad}\)
WAVE OPTICS

283213 In Young's experiment, the third bright band for light of wavelength \(6000 \AA\) coincides with the fourth bright band for another source of light in the same arrangement. Then the wavelength of second source is

1 \(3600 \AA\)
2 \(4000 \AA\)
3 \(5000 \AA\)
4 \(4500 \AA\)
5 \(5500 \AA\)
WAVE OPTICS

283214 In Young's experiment, using red light \((\lambda=\) \(6600 \AA), 60\) fringes are seen in the field of view. How many fringes will be seen by using violet light \((\lambda=\mathbf{4 4 0 0} \AA)\) ?

1 10
2 20
3 45
4 90
5 35
WAVE OPTICS

283215 Let a beam of wavelength \(\lambda\) falls on parallel reflecting planes with separation \(d\), then the angle \(\theta\) that the beam should make with the planes so that reflected beams from successive planes may interfere constructively should be (where, \(\mathbf{n}=1,2, \ldots\) )
original image

1 \(\cos ^{-1}\left(\frac{\mathrm{n} \lambda}{2 \mathrm{~d}}\right)\)
2 \(\sin ^{-1}\left(\frac{\mathrm{n} \lambda}{2 \mathrm{~d}}\right)\)
3 \(\sin ^{-1}\left(\frac{\mathrm{n} \lambda}{\mathrm{d}}\right)\)
4 \(\tan ^{-1}\left(\frac{\mathrm{n} \lambda}{\mathrm{d}}\right)\)
WAVE OPTICS

283216 The path difference between two wavefronts emitted by coherent sources of wavelength 5460 \(\AA\) is 2.1 micron. The phase difference between the wavefronts at that point is

1 \(7.692 \mathrm{rad}\)
2 \(7.692 \pi \mathrm{rad}\)
3 \(\frac{7.692}{\pi} \mathrm{rad}\)
4 \(\frac{7.692}{3 \pi} \mathrm{rad}\)