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Q. No.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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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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If an electron of mass \(m\) with a de-Broglie wavelength of \(\lambda\) falls on the target in an \(X\text-\)ray tube, the cut-off wavelength \((\lambda_0)\) of the emitted \(X\text-\)ray will be:
1. \(\lambda_0 = \frac{2mc\lambda^2}{h}\)
2. \(\lambda_0 = \frac{2h}{mc}\)
3. \(\lambda_0 = \frac{2m^2c^2\lambda^3}{h^2}\)
4. \(\lambda_0 = \lambda\)
1. \(\lambda_0 = \frac{2mc\lambda^2}{h}\)
2. \(\lambda_0 = \frac{2h}{mc}\)
3. \(\lambda_0 = \frac{2m^2c^2\lambda^3}{h^2}\)
4. \(\lambda_0 = \lambda\)
Subtopic: De-broglie Wavelength |
51%
Level 3: 35%-60%
NEET - 2016
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An electron of mass m and a photon have the same energy E. Find the ratio of de-Broglie wavelength associated with the electron to that associated with the photon. (c is the velocity of light)
Subtopic: De-broglie Wavelength |
60%
Level 2: 60%+
NEET - 2016
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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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Light with a wavelength of \(500\) nm is incident on a metal with a work function of \(2.28~\text{eV}.\) The de Broglie wavelength of the emitted electron will be:
1. \( <2.8 \times 10^{-10}~\text{m} \)
2. \( <2.8 \times 10^{-9}~\text{m} \)
3. \( \geq 2.8 \times 10^{-9}~\text{m} \)
4. \( <2.8 \times 10^{-12}~\text{m} \)
Subtopic: De-broglie Wavelength |
60%
Level 2: 60%+
NEET - 2015
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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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The wavelength \(\lambda_{e}\) of an electron and \(\lambda_{p}\) of a photon of the same energy \(E\) are related as:
1. \(\lambda_p \propto \lambda^2_e\)
2. \(\lambda_p \propto \lambda_e\)
3. \(\lambda_p \propto \sqrt{\lambda_e}\)
4. \(\lambda_p \propto \frac{1}{\sqrt{\lambda_e}}\)
1. \(\lambda_p \propto \lambda^2_e\)
2. \(\lambda_p \propto \lambda_e\)
3. \(\lambda_p \propto \sqrt{\lambda_e}\)
4. \(\lambda_p \propto \frac{1}{\sqrt{\lambda_e}}\)
Subtopic: De-broglie Wavelength |
56%
Level 3: 35%-60%
NEET - 2013
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An \(\alpha\text-\)particle moves in a circular path of radius \(0.83\) cm in the presence of a magnetic field of \(0.25 ~\text{Wb/m}^2\). The de-Broglie wavelength associated with the particle will be:
| 1. | \(1~\mathring{A}\) | 2. | \(0.1~\mathring{A}\) |
| 3. | \(10~\mathring{A}\) | 4. | \(0.01~\mathring{A}\) |
Subtopic: De-broglie Wavelength |
59%
Level 3: 35%-60%
NEET - 2012
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If the momentum of an electron is changed by \(p\), then the de-Broglie wavelength associated with it changes by \(0.5\%\). What is the initial momentum of the electron?
1. \(200p\)
2. \(400p\)
3. \(\frac{p}{200}\)
4. \(100p\)
1. \(200p\)
2. \(400p\)
3. \(\frac{p}{200}\)
4. \(100p\)
Subtopic: De-broglie Wavelength |
63%
Level 2: 60%+
NEET - 2012
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