Q. No.The momentum of a photon is \(3.3\times10^{-29}\) kg-m/s. Its frequency will be:
1. \(3\times10^{3}\) Hz
2. \(6\times10^{3}\) Hz
3. \(7.5\times10^{12}\) Hz
4. \(1.5\times10^{13}\) Hz
Subtopic: De-broglie Wavelength |
81%
Level 1: 80%+
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An electron with \(144~\text{eV}\) of kinetic energy has a de-Broglie wavelength that is very similar to?
| 1. | \(102\times10^{-3}~\text{nm}\) | 2. | \(102\times10^{-4}~\text{nm}\) |
| 3. | \(102\times10^{-5}~\text{nm}\) | 4. | \(102\times10^{-2}~\text{nm}\) |
Subtopic: De-broglie Wavelength |
55%
Level 3: 35%-60%
NEET - 2020
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A particle is dropped from a height \(H.\) The de-Broglie wavelength of the particle as a function of height is proportional to:
1. \(H\)
2. \(H^{1/2}\)
3. \(H^{0}\)
4. \(H^{-1/2}\)
Subtopic: De-broglie Wavelength |
66%
Level 2: 60%+
Hints
A nucleus of mass \(M,\) initially at rest, splits into two fragments with masses \(\dfrac{M'}{ 3}\) and \(\dfrac{2M'} { 3}\) \((M'<M).\) The ratio of the de-Broglie wavelengths of the two fragments is:
| 1. | \(1:2\) | 2. | \(2:1\) |
| 3. | \(1:1\) | 4. | \(2:3\) |
Subtopic: De-broglie Wavelength |
57%
Level 3: 35%-60%
JEE
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The ratio of wavelengths of proton and deuteron accelerated by potential \(V_{p}\) and \(V_{d}\) is \(1:\sqrt2.\) Then, the ratio of \(V_{p}\) to \(V_{d}\) will be:
1. \(1:1\)
2. \(\sqrt 2: 1\)
3. \(2:1\)
4. \(4:1\)
1. \(1:1\)
2. \(\sqrt 2: 1\)
3. \(2:1\)
4. \(4:1\)
Subtopic: De-broglie Wavelength |
Level 3: 35%-60%
JEE
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Photons and electrons of the same wavelength are compared. Which one carries larger momentum?
| 1. | photon |
| 2. | electron |
| 3. | neither, since both have equal momenta |
| 4. | it could be either, depending on the energy |
Subtopic: De-broglie Wavelength |
66%
Level 2: 60%+
Hints
The de-Broglie wavelength of an electron in the ground state of a \(\mathrm H\)-atom is \(\lambda_1\) and that on the \(\mathrm{He}^+\)-ion is \(\lambda_2.\) The kinetic energies of the electrons in the \(\mathrm H\)-atom and the \(\mathrm{He}^+\)-ion – having the same de-Broglie wavelength are \(E_1\) and \(E_2.\)
The ratio \(\dfrac{E_1}{E_2}\) is:
The ratio \(\dfrac{E_1}{E_2}\) is:
| 1. | \(4\) | 2. | \(\dfrac14\) |
| 3. | \(1\) | 4. | \(\dfrac12\) |
Subtopic: De-broglie Wavelength |
Level 4: Below 35%
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The graph that shows the variation of the de-Broglie wavelength \((\lambda)\) of a particle and its associated momentum \((p)\) is:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: De-broglie Wavelength |
84%
Level 1: 80%+
NEET - 2022
Hints
What is the de-Broglie wavelength of an electron with the kinetic energy of \(120\) eV?
1. \(0.123\) nm
2. \(0.121\) nm
3. \(0.112\) nm
4. \(0.131\) nm
Subtopic: De-broglie Wavelength |
62%
Level 2: 60%+
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What is the de-Broglie wavelength associated with an electron moving at a speed of \(5.4\times10^6~\text{m/s}\)?
| 1. | \(0.244~\text{nm}\) | 2. | \(0.135~\text{nm}\) |
| 3. | \(0.157~\text{nm}\) | 4. | \(0.111~\text{nm}\) |
Subtopic: De-broglie Wavelength |
72%
Level 2: 60%+
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