An astronomical refracting telescope will have large angular magnification and high angular resolution when it has an objective lens of:
1. | Small focal length and large diameter |
2. | Large focal length and small diameter |
3. | Large focal length and large diameter |
4. | Small focal length and small diameter |
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The intensity at the maximum in a Young's double-slit experiment is \(I_0\). Distance between two slits is \(d = 5\lambda,\) where \(\lambda\) is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen placed at a distance \(D = 10d\)?
1. \(\frac{I_0}{4}\)
2. \(\frac{3I_0}{4}\)
3. \(\frac{I_0}{2}\)
4. \(I_0\)
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Two slits in young’s experiment have widths in the ratio 1:25. The ratio of intensity at the maxima and minima in the interference pattern is
1.
2.
3.
4.
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1. | \(0.2~\text{mm}\) | 2. | \(0.1~\text{mm}\) |
3. | \(0.5~\text{mm}\) | 4. | \(0.02~\text{mm}\) |
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A beam of light of λ = 600 nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between the first dark fringes on either side of the central bright fringe is :
1. 1.2 cm
2. 1.2 mm
3. 2.4 cm
4. 2.4 mm
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In Young's double-slit experiment, the intensity of light at a point on the screen where the path difference is \(\lambda\) is \(K\), (\(\lambda\) being the wavelength of light used). The intensity at a point where the path difference is \(\frac{\lambda}{4}\) will be:
1. \(K\)
2. \(\frac{K}{4}\)
3. \(\frac{K}{2}\)
4. zero
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A parallel beam of fast-moving electrons is incident normally on a narrow slit. A fluorescent screen is placed at a large distance from the slit. If the speed of the electrons is increased, which of the following statements is correct?
1. | The angular width of the central maximum of the diffraction pattern will increase. |
2. | The angular width of the central maximum will decrease. |
3. | The angular width of the central maximum will be unaffected. |
4. | A diffraction pattern is not observed on the screen in the case of electrons. |
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