Q. No.What is the momentum of a photon in an \(X\text-\)ray beam of \(10^{-10}\) meter wavelength?
| 1. | \(1.5 \times 10^{-23}~\text{kg-m/s}\) |
| 2. | \(6.6 \times 10^{-24}~\text{kg-m/s}\) |
| 3. | \(6.6 \times 10^{-44}~\text{kg-m/s}\) |
| 4. | \(2.2 \times 10^{-52}~\text{kg-m/s}\) |
Subtopic: De-broglie Wavelength |
91%
Level 1: 80%+
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Which of the following figures represents the variation of the particle momentum and the associated de-Broglie wavelength?
| 1. |  |
2. |  |
| 3. |  |
4. |
 |
Subtopic: De-broglie Wavelength |
86%
Level 1: 80%+
NEET - 2015
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What is the de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature \(T\) (Kelvin) and mass \(m?\)
| 1. | \(\frac{h}{\sqrt{m k T}}\) | 2. | \(\frac{h}{\sqrt{3 m k T}}\) |
| 3. | \(\frac{2 h}{\sqrt{3 m k T}}\) | 4. | \(\frac{2 h}{\sqrt{m k T}}\) |
Subtopic: De-broglie Wavelength |
81%
Level 1: 80%+
NEET - 2017
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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 de-Broglie wavelength of a particle accelerated by a \(150\) volt potential difference is \(10^{-10}\) m. What will its wavelength be if it is accelerated by a \(600\) volt potential difference?
1. \(0.25~\mathring{A}\)
2. \(0.5~\mathring{A}\)
3. \(1.5~\mathring{A}\)
4. \(2~\mathring{A}\)
1. \(0.25~\mathring{A}\)
2. \(0.5~\mathring{A}\)
3. \(1.5~\mathring{A}\)
4. \(2~\mathring{A}\)
Subtopic: De-broglie Wavelength |
79%
Level 2: 60%+
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A particle which has zero rest mass and non-zero energy and momentum must travel with a speed:
| 1. | Equal to \(c\), the speed of light in vacuum. |
| 2. | Greater than \(c\). |
| 3. | Less than \(c\). |
| 4. | Tending to infinity. |
Subtopic: De-broglie Wavelength |
78%
Level 2: 60%+
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What is the de-Broglie wavelength associated with an electron accelerated through a voltage of \(900\) V?
1. \(0.31~\mathring{A}\)
2. \(0.41~\mathring{A}\)
3. \(0.5~\mathring{A}\)
4. \(0.16~\mathring{A}\)
1. \(0.31~\mathring{A}\)
2. \(0.41~\mathring{A}\)
3. \(0.5~\mathring{A}\)
4. \(0.16~\mathring{A}\)
Subtopic: De-broglie Wavelength |
74%
Level 2: 60%+
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Electrons used in an electron microscope are accelerated by a voltage of \(25\) kV. If the voltage were increased to \(100\) kV, then the de-Broglie wavelength associated with the electrons would:
| 1. | decrease by \(2\) times |
| 2. | decrease by \(4\) times |
| 3. | increase by \(4\) times |
| 4. | increase by \(2\) times |
Subtopic: De-broglie Wavelength |
80%
Level 1: 80%+
AIPMT - 2011
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The de-Broglie wavelength of a particle moving with a velocity \(2.25\times 10^{8}\) m/s is equal to the wavelength of the photon. What is the ratio of the kinetic energy of the particle to the energy of the photon? (velocity of light is \(3\times 10^{8}\) m/s)
| 1. | \(\frac{1}{8}\) | 2. | \(\frac{3}{8}\) |
| 3. | \(\frac{5}{8}\) | 4. | \(\frac{7}{8}\) |
Subtopic: De-broglie Wavelength |
69%
Level 2: 60%+
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What will be the percentage change in the de-Broglie wavelength of the particle if the kinetic energy of the particle is increased to \(16\) times its previous value?
1. \(25\)
2. \(75\)
3. \(60\)
4. \(50\)
Subtopic: De-broglie Wavelength |
71%
Level 2: 60%+
NEET - 2014
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