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Q. No.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 |
80%
From NCERT
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 |
From NCERT
NEET - 2016
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Photons with energy \(5\) eV are incident on a cathode \(C\) in a photoelectric cell. The maximum energy of emitted photoelectrons is \(2\) eV. When photons of energy \(6\) eV are incident on \(C\), no photoelectron will reach the anode \(A\), if the stopping potential of \(A\) relative to \(C\) is:
1. \(+3\) V
2. \(+4\) V
3. \(-1\) V
4. \(-3\) V
1. \(+3\) V
2. \(+4\) V
3. \(-1\) V
4. \(-3\) V
Subtopic: Einstein's Photoelectric Equation |
51%
From NCERT
NEET - 2016
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A certain metallic surface is illuminated with monochromatic light of wavelength \(\lambda\). The stopping potential for photoelectric current for this light is \(3V_0\). If the same surface is illuminated with light of wavelength \(2\lambda\), the stopping potential is \(V_0\). The photoelectric effect's threshold wavelength for this surface is?
1. \(6\lambda\)
2. \(4\lambda\)
3. \(\dfrac{\lambda}{4}\)
4. \(\dfrac{\lambda}{6}\)
1. \(6\lambda\)
2. \(4\lambda\)
3. \(\dfrac{\lambda}{4}\)
4. \(\dfrac{\lambda}{6}\)
Subtopic: Einstein's Photoelectric Equation |
77%
From NCERT
NEET - 2015
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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 |
85%
From NCERT
NEET - 2015
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A photoelectric surface is illuminated successively by monochromatic light of wavelengths \(\lambda\) and \(\frac{\lambda}{2}\). If the maximum kinetic energy of the emitted photoelectrons in the second case is \(3\) times that in the first case, the work function of the surface of the material will be:
(\(h\) = Planck’s constant, \(c\) = speed of light)
1. \(\frac{hc}{2\lambda}\)
2. \(\frac{hc}{\lambda}\)
3. \(\frac{2hc}{\lambda}\)
4. \(\frac{hc}{3\lambda}\)
(\(h\) = Planck’s constant, \(c\) = speed of light)
1. \(\frac{hc}{2\lambda}\)
2. \(\frac{hc}{\lambda}\)
3. \(\frac{2hc}{\lambda}\)
4. \(\frac{hc}{3\lambda}\)
Subtopic: Einstein's Photoelectric Equation |
71%
From NCERT
NEET - 2015
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Light with a wavelength of \(500\) nm is incident on a metal with a work function of \(2.28\) 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%
From NCERT
NEET - 2015
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When the energy of the incident radiation is increased by \(20\%\), the kinetic energy of the photoelectrons emitted from a metal surface increases from \(0.5\) eV to \(0.8\) eV. The work function of the metal will be:
1. \(0.65\) eV
2. \(1.0\) eV
3. \(1.3\) eV
4. \(1.5\) eV
1. \(0.65\) eV
2. \(1.0\) eV
3. \(1.3\) eV
4. \(1.5\) eV
Subtopic: Einstein's Photoelectric Equation |
67%
From NCERT
NEET - 2014
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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 |
69%
From NCERT
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 |
54%
From NCERT
NEET - 2013
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