Q. No.A slit of widths \(a\) is illuminated by light of wavelength \(\lambda\). The linear separation between \(1^{\text{st}}\) and \(3^{\text{rd}}\) minima in the diffraction pattern produced on a screen placed at distance \(D\) from the slit system is:
1. \(\dfrac{D \lambda}{a}\)
2. \(1.5 \dfrac{D\lambda}{a}\)
3. \(2\dfrac{D\lambda}{a}\)
4. \(3\dfrac{D\lambda}{a}\)
1. \(\dfrac{D \lambda}{a}\)
2. \(1.5 \dfrac{D\lambda}{a}\)
3. \(2\dfrac{D\lambda}{a}\)
4. \(3\dfrac{D\lambda}{a}\)
Subtopic: Diffraction |
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Give below are two statement:
| Statement I: | A plane wave after passing through prism remains as plane wave but passing through small pin hole may become spherical wave. |
| Statement II: | The curvature of a spherical wave emerging from a slit will increase for increasing slit width. |
| 1. | Both Statement I and Statement II are False. |
| 2. | Both Statemen I and Statement II are True. |
| 3. | Statement I is True but Statement II is False. |
| 4. | Statement I is False but Statement II is True. |
Subtopic: Diffraction |
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In a single-slit diffraction experiment using light of wavelength \(628 ~\text{nm},\) the angular separation between the second minimum on the left of the central maximum and the third minimum on the right is measured to be \(30^\circ.\) What is the width of the slit?
1. \(6\)
2. \(8\)
3. \(4\)
4. \(5\)
1. \(6\)
2. \(8\)
3. \(4\)
4. \(5\)
Subtopic: Diffraction |
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A parallel beam of monochromatic light of wavelength \(\mathrm{600~nm}\) passes through single slit of \(\mathrm{0.4~mm}\) width. Angular divergence corresponding to second order minima would be:
1. \(1\times10^{-3}\ \text {rad}\)
2. \(3\times10^{-3}\ \text {rad}\)
3. \(2\times10^{-3}\ \text {rad}\)
4. \(6\times10^{-3}\ \text {rad}\)
1. \(1\times10^{-3}\ \text {rad}\)
2. \(3\times10^{-3}\ \text {rad}\)
3. \(2\times10^{-3}\ \text {rad}\)
4. \(6\times10^{-3}\ \text {rad}\)
Subtopic: Diffraction |
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In a single slit diffraction pattern with slit width \(a\) and wavelength of light \(\lambda,\) then the angular position of first minima if screen distance \(D~(D \gg a)\) is:
1. \({\lambda\over a}\)
2. \({2\lambda\over a}\)
3. \({3\lambda\over 2a}\)
4. \({3\lambda\over a}\)
1. \({\lambda\over a}\)
2. \({2\lambda\over a}\)
3. \({3\lambda\over 2a}\)
4. \({3\lambda\over a}\)
Subtopic: Diffraction |
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In single slit diffraction with slit width \(0.1~\text{mm},\) light of wavelength \(6000~\mathring A\) is used. A convex lens of focal length \(20~\text{cm}\) is used to focus the diffracted ray. Then the width of the central maxima is:
1. \(24~\text{mm}\)
2. \(2.4~\text{mm}\)
3. \(12~\text{mm}\)
4. \(1.2~\text{mm}\)
1. \(24~\text{mm}\)
2. \(2.4~\text{mm}\)
3. \(12~\text{mm}\)
4. \(1.2~\text{mm}\)
Subtopic: Diffraction |
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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. \(1.8\) \(\mu \text{m}\)
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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Sunlight passes through a pinhole of diameter \(0.1 ~\mu\text{m},\) producing a diffraction pattern on a screen. If the diameter of the pinhole is increased slightly, how will the diffraction pattern change?
| 1. | The pattern size decreases, and the intensity decreases. |
| 2. | The pattern size increases, and the intensity increases. |
| 3. | The pattern size increases, but the intensity decreases. |
| 4. | The pattern size decreases, but intensity increases. |
Subtopic: Diffraction |
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Visible light of wavelength \(6000\times 10^{-8}~\text{cm}\) falls normally on a single slit and produces a diffraction pattern. It is found that the second diffraction minimum is at \(60^\circ\) from the central maximum. If the first minimum is produced at \(θ_1\) then \(θ_1\) is close to:
1. \(20^\circ\)
2. \(30^\circ\)
3. \(25^\circ\)
4. \(45^\circ\)
1. \(20^\circ\)
2. \(30^\circ\)
3. \(25^\circ\)
4. \(45^\circ\)
Subtopic: Diffraction |
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Orange light of wavelength \(6000 \times 10^{-10} ~\text{m}\) illuminates a single slit of width \(0.6 \times 10^{-4} ~\text{m}\). The maximum possible number of diffraction minima produced on both sides of the central maximum is:
1. \(200\)
2. \(198\)
3. \(400\)
4. \(126\)
Subtopic: Diffraction |
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