Match List-I with List-II:
List-I List-II
\(\mathrm{(A)}\) \(E = h\nu\) \(\mathrm{(I)}\) de-Broglie wavelength
\(\mathrm{(B)}\) Diffraction and Interference \(\mathrm{(II)}\) Particle nature of light
\(\mathrm{(C)}\) \(\lambda = h/p\) \(\mathrm{(III)}\) Wave nature of light
\(\mathrm{(D)}\) Compton effect \(\mathrm{(IV)}\) Energy of photon
Choose the correct answer from the options given below:
1. \(\mathrm{A\text-IV, B\text-III, C\text-I, D\text-II}\)
2. \(\mathrm{A\text-I, B\text-IV, C\text-III, D\text-II}\)
3. \(\mathrm{A\text-IV, B\text-I, C\text-II, D\text-III}\)
4. \(\mathrm{A\text-IV, B\text-III, C\text-II, D\text-I}\)
Subtopic:  Particle Nature of Light |
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For a metal of work function \(6.6\) eV, which of the following wavelengths of incident radiation does not give rise to the photoelectric effect?
(take Planck's constant as \(6.6\times 10^{-34}\) J-s)
1. \(200~\text{nm}\)
2. \(150~\text{nm}\)
3. \(100~\text{nm}\)
4. \(50~\text{nm}\)
Subtopic:  Photoelectric Effect: Experiment |
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De-Broglie wavelength of an electron orbiting in the \(n=2\) state of a 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. \(0.67~ \text{nm}\)
Subtopic:  De-broglie Wavelength |
Level 3: 35%-60%
NEET - 2025
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Which of the following options represents the variation of photoelectric current with the property of light shown on the \(x \text{-}\)axis?
(A) (B)
(C) (D)
 
1. (A) and (D) 2. (B) and (D)
3. (A) only 4. (A) and (C)
Subtopic:  Photoelectric Effect: Experiment |
Level 3: 35%-60%
NEET - 2025
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A photon and an electron (of mass \(m\)) have the same total energy \(E. \) If \(c\) denotes the speed of light, what is the ratio of their de-Broglie wavelengths \((\lambda_{\text{photon}}/\lambda_{\text{electron}})\text{?} \)

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%
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If \(c\) is the velocity of light in free space, the correct statements about photons among the following are:

(A) The energy of a photon is \(E=h\nu.\)
(B) The velocity of a photon is \(c.\)
(C) The momentum of a photon, \(p={\dfrac{h\nu}{c}}.\)
(D) In a photon-electron collision, both total energy and total momentum are conserved.
(E) Photon possesses a positive electric charge.
Choose the correct answer from the options given below:
1. (A), (B), (C) and (D) only
2. (A), (C) and (D) only
3. (A), (B), (D) and (E) only
4. (A) and (B) only
Subtopic:  Particle Nature of Light |
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Level 2: 60%+
NEET - 2024
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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:
1. 2.
3. 4.
Subtopic:  De-broglie Wavelength |
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Radiation of wavelength \(280~\text{nm}\) is used in an experiment of photoelectric effect with cathode of work function, \(2.5~\text{eV}.\) The maximum kinetic energy of the photoelectrons is:
(take \(h=6.62\times10^{-34}~\text{J s}\) and \(c=3\times10^{8}~\text{ms}^{-1}\))
1. \(4.4~\text{eV}\) 2. \(7.103\times10^{-15}~\text{J}\)
3. \(1.9~\text{eV}\) 4. \(4.60~\text{eV}\)
Subtopic:  Einstein's Photoelectric Equation |
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Given below are two statements:
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.
In the light of the above statements, choose the most appropriate answer from the options given below:
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
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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%
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