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A stationary nucleus of mass number \(A\) emits an \(\alpha\text{-particle}\). If the de-Broglie wavelength of the daughter nucleus is \(\left(\lambda\right)_{1}\) and that of the \(\alpha\text-\)particle is \(\left(\lambda\right)_{2}\), then the ratio \(\frac{\left(\lambda\right)_{1}}{\left(\lambda\right)_{2}}\) is:
1.
\(\frac{4}{A - 4}\)
2.
\(\frac{A - 4}{4}\)
3.
\(1\)
4.
\(\frac{A + 4}{4}\)
Subtopic: De-broglie Wavelength |
Level 3: 35%-60%
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The curves (1), (2), (3) and (4) show the variation between the applied potential difference \((V)\) and the photoelectric current \((i)\), at two different intensities of light \((I_1>I_2)\). In which figure is the correct variation shown?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Photoelectric Effect: Experiment |
92%
Level 1: 80%+
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When monochromatic photons of wavelength \(4000~\mathring{A}\) are incident on the metal plate of work function \(2.1~\text{eV},\) what will be the stopping potential for the photocurrent?
| 1. | \(1~\text V\) | 2. | \(2.1~\text V\) |
| 3. | \(3.1~\text V\) | 4. | Zero |
Subtopic: Einstein's Photoelectric Equation |
82%
Level 1: 80%+
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The stopping potential of a photosensitive material is \(4~V\) when the wavelength of incident monochromatic radiation is \(\lambda.\) If the wavelength of incident radiation is doubled on the same photosensitive material, the stopping potential becomes \(V.\) The threshold wavelength of the photosensitive material will be:
1.
2.
3.
4.
Subtopic: Einstein's Photoelectric Equation |
74%
Level 2: 60%+
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A metallic surface is exposed to two radiations separately, one of wavelength \(4000~\mathring{A}\) and the other of \(8000~\mathring{A}\). If the work function of metal is \(1\) eV, then the ratio of maximum kinetic energies of photoelectrons is nearly equal to:
| 1. | \(\dfrac{32}{11} \) | 2. | \(\dfrac{42}{11} \) |
| 3. | \(\dfrac{52}{11} \) | 4. | \(\dfrac{62}{11}\) |
Subtopic: Einstein's Photoelectric Equation |
76%
Level 2: 60%+
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The figure shows the variation in photoelectric current \((i)\) with voltage \((V)\) between the electrodes in a photocell for two different radiations. If \(I_a\) and \(I_b\) are the intensities of the incident radiation and \(\nu_a\) and \(\nu_b\) their respective frequencies, then:
| 1. | \(I_a>I_b,~ \nu_b<\nu_a\) | 2. | \(I_a<I_b, ~\nu_b>\nu_a\) |
| 3. | \(I_a>I_b,~ \nu_b=\nu_a\) | 4. | \(I_a<I_b, ~\nu_b<\nu_a\) |
Subtopic: Photoelectric Effect: Experiment |
76%
Level 2: 60%+
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The work function of a metal surface is \(2\) eV. When the light of frequency \(f\) is incident on the surface, the maximum kinetic energy of the photoelectrons emitted is \(5\) eV. If the frequency of the incident light is increased to \(4f\), then the maximum kinetic energy of the photoelectron emitted will be:
1. \(20\) eV
2. \(22\) eV
3. \(26\) eV
4. \(28\) eV
1. \(20\) eV
2. \(22\) eV
3. \(26\) eV
4. \(28\) eV
Subtopic: Einstein's Photoelectric Equation |
74%
Level 2: 60%+
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When a point source of monochromatic light is at a distance of \(0.2~\text m\) from a photoelectric cell, the cut-off voltage and saturation current are \(0.6\) volt and \(18~\text{mA}\) respectively. What will happen if the same source is placed \(0.6~\text m\) away from the photoelectric cell?
| 1. | the stopping potential will be \(0.2\) volt. |
| 2. | the stopping potential will be \(0.6\) volt. |
| 3. | the saturation current will be \(6~\text{mA}.\) |
| 4. | the saturation current will be \(18~\text{mA}.\) |
Subtopic: Einstein's Photoelectric Equation |
72%
Level 2: 60%+
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The de-Broglie wavelength of an electron is the same as that of a photon of wavelength \(\lambda\). If the mass of an electron is \(m,\) then its kinetic energy will be:
| 1. | \(\frac{h^{2} m}{2 \lambda^{2}}\) | 2. | \(\frac{2 h m^{2}}{\lambda^{2}}\) |
| 3. | \(\frac{h^{2} \lambda^{2}}{2 m}\) | 4. | \(\frac{h^{2}}{2 m \lambda^{2}}\) |
Subtopic: De-broglie Wavelength |
80%
Level 1: 80%+
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The variation of the kinetic energy \((K)\) of photoelectrons as a function of the frequency \((f)\) of the incident radiation is best shown by:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Einstein's Photoelectric Equation |
74%
Level 2: 60%+
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