Q. No.De-Broglie wavelength of an electron orbiting in the \(n=2\) state of hydrogen atom is close to: (Given: Bohr radius \(=0.052~ \text{nm}\))
1. \(1.67~ \text{nm}\)
2. \(2.67~ \text{nm}\)
3. \(0.067~ \text{nm}\)
4. \(0.67~ \text{nm}\)
1. \(1.67~ \text{nm}\)
2. \(2.67~ \text{nm}\)
3. \(0.067~ \text{nm}\)
4. \(0.67~ \text{nm}\)
Subtopic: De-broglie Wavelength |
Level 3: 35%-60%
NEET - 2025
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A photon and an electron (mass \(m\)) have the same energy \(E.\) The ratio \((\lambda_{\text{photon}}/\lambda_{\text{electron}})\) of their de Broglie wavelengths is: (\(c\) is the speed of light)
| 1. | \(c\sqrt{\dfrac{2m}{E}}\) | 2. | \(\dfrac{1}{c}\sqrt{\dfrac{E}{2m}}\) |
| 3. | \(\sqrt{\dfrac{E}{2m}}\) | 4. | \(c\sqrt{2mE}\) |
Subtopic: De-broglie Wavelength |
Level 3: 35%-60%
NEET - 2025
Please attempt this question first.
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The graph that shows the variation of \({\dfrac{1}{\lambda^2}}\) with the kinetic energy \(E\) (where \(\lambda\) is the de-Broglie wavelength of a free particle) is:
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2. |  |
| 3. |  |
4. |  |
Subtopic: De-broglie Wavelength |
57%
Level 3: 35%-60%
NEET - 2024
Hints
Given below are two statements:
In the light of the above statements, choose the most appropriate answer from the options given below:
| Statement I: | The de Broglie wavelength associated with a material particle depends on its charge and nature. |
| Statement II: | The wave nature of particles in sub-atomic domain is significant and measurable. |
| 1. | Both Statement I and Statement II are correct. |
| 2. | Both Statement I and Statement II are incorrect. |
| 3. | Statement I is correct but Statement II is incorrect. |
| 4. | Statement I is incorrect but Statement II is correct. |
Subtopic: De-broglie Wavelength |
Level 3: 35%-60%
NEET - 2024
Hints
An electron and an alpha particle are accelerated by the same potential difference. Let \(\lambda_\mathrm{e}\) and \(\lambda_\mathrm{\alpha}\) denote the de-Broglie wavelengths of the electron and the alpha particle, respectively, then:
| 1. | \(\lambda_{\mathrm{e}}>\lambda_{\alpha}\) | 2. | \(\lambda_{\mathrm{e}}=4\lambda_{\alpha}\) |
| 3. | \(\lambda_{\mathrm{e}}=\lambda_{\alpha}\) | 4. | \(\lambda_{\mathrm{e}}<\lambda_{\alpha}\) |
Subtopic: De-broglie Wavelength |
71%
Level 2: 60%+
NEET - 2024
Hints
The de-Broglie wavelength associated with an electron, accelerated by a potential difference of \(81\) V is given by:
1. \(13.6\) nm
2. \(136\) nm
3. \(1.36\) nm
4. \(0.136\) nm
1. \(13.6\) nm
2. \(136\) nm
3. \(1.36\) nm
4. \(0.136\) nm
Subtopic: De-broglie Wavelength |
58%
Level 3: 35%-60%
NEET - 2023
Hints
The graph that shows the variation of the de-Broglie wavelength \((\lambda)\) of a particle and its associated momentum \((p)\) is:
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2. |  |
| 3. |  |
4. |  |
Subtopic: De-broglie Wavelength |
84%
Level 1: 80%+
NEET - 2022
Hints
The de-Broglie wavelength of the thermal electron at \(27^\circ \text{C}\) is \(\lambda.\) When the temperature is increased to \(927^\circ \text{C},\) its de-Broglie wavelength will become:
| 1. | \(2\lambda\) | 2. | \(4\lambda\) |
| 3. | \(\dfrac\lambda2\) | 4. | \(\dfrac\lambda4\) |
Subtopic: De-broglie Wavelength |
63%
Level 2: 60%+
NEET - 2022
Hints
An electromagnetic wave of wavelength \(\lambda\) is incident on a photosensitive surface of negligible work function. If '\(m\)' is the mass of photoelectron emitted from the surface and \(\lambda_d\) is the de-Broglie wavelength, then:
| 1. | \( \lambda=\left(\dfrac{2 {mc}}{{h}}\right) \lambda_{{d}}^2 \) | 2. | \( \lambda=\left(\dfrac{2 {h}}{{mc}}\right) \lambda_{{d}}^2 \) |
| 3. | \( \lambda=\left(\dfrac{2 {m}}{{hc}}\right) \lambda_{{d}}^2\) | 4. | \( \lambda_{{d}}=\left(\dfrac{2 {mc}}{{h}}\right) \lambda^2 \) |
Subtopic: De-broglie Wavelength |
58%
Level 3: 35%-60%
NEET - 2021
Hints
Links
An electron is accelerated from rest through a potential difference of \(V\) volt. If the de Broglie wavelength of an electron is \(1.227\times10^{-2}~\text{nm}.\) What will be its potential difference?
| 1. | \(10^{2}~\text{V}\) | 2. | \(10^{3}~\text{V}\) |
| 3. | \(10^{4}~\text{V}\) | 4. | \(10^{5}~\text{V}\) |
Subtopic: De-broglie Wavelength |
60%
Level 2: 60%+
NEET - 2020
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