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 a light of wavelength \(2\lambda\), the stopping potential is \(V_0\). The threshold wavelength for this surface for the photoelectric effect is:
1. \(6\lambda\)
2. \(4\lambda\)
3. \(\frac{\lambda}{4}\)
4. \(\frac{\lambda}{6}\)

Subtopic:  Einstein's Photoelectric Equation |
 80%
From NCERT
NEET - 2015
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Which of the following figures represent the variation of the particle momentum and the associated de-Broglie wavelength?

1.   2.
3.   4.  
Subtopic:  De-broglie Wavelength |
 87%
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 \(0.5~\text{eV}\) to \(0.8~\text{eV}\). The work function of the metal is:
1. \(0.65~\text{eV}\)
2. \(1.0~\text{eV}\)
3. \(1.3~\text{eV}\)
4. \(1.5~\text{eV}\)

Subtopic:  Einstein's Photoelectric Equation |
 71%
From NCERT
AIPMT - 2014
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If the kinetic energy of the particle is increased to \(16\) times its previous value, the percentage change in the de-Broglie wavelength of the particle is:
1. \(25\)
2. \(75\)
3. \(60\)
4. \(50\)

Subtopic:  De-broglie Wavelength |
 72%
From NCERT
AIPMT - 2014
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For photoelectric emission from certain metals, the cutoff frequency is \(\nu\). If radiation of frequency \(2\nu\) impinges on the metal plate, the maximum possible velocity of the emitted electron will be:
(\(m\) is the electron mass)

1. \(\sqrt{\frac{h\nu}{m}}\) 2. \(\sqrt{\frac{2h\nu}{m}}\)
3. \(2\sqrt{\frac{h\nu}{m}}\) 4. \(\sqrt{\frac{h\nu}{2m}}\)
Subtopic:  Einstein's Photoelectric Equation |
 83%
From NCERT
AIPMT - 2013
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The wavelength \(\lambda_e\) of an electron and \(\lambda_p\) of a photon of the same energy \(E\) are related by:
1. \(\lambda_p \propto \lambda_e\)
2. \(\lambda_p \propto \sqrt{\lambda_e}\)
3. \(\lambda_p \propto \frac{1}{\sqrt{\lambda_e}}\)
4. \(\lambda_p \propto \lambda_e^2\)
Subtopic:  De-broglie Wavelength |
 60%
From NCERT
AIPMT - 2013
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A \(200~\text{W}\) sodium street lamp emits yellow light of wavelength \(0.6~\mu\text{m}\). Assuming it to be \(25\%\) efficient in converting electrical energy to light, the number of photons of yellow light it emits per second is:
1. \(1.5\times 10^{20}\)
2. \(6\times 10^{18}\)
3. \(62\times 10^{20}\)
4. \(3\times 10^{19}\)

Subtopic:  Particle Nature of Light |
 70%
From NCERT
AIPMT - 2012
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An \(\alpha\text-\)particle moves in a circular path of radius \(0.83~\text{cm}\) 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. \(1~\mathring{\text{A}}\)
2. \(0.1~\mathring{\text{A}}\)
3. \(10~\mathring{\text{A}}\)
4. \(0.01~\mathring{\text{A}}\)

Subtopic:  De-broglie Wavelength |
 58%
From NCERT
AIPMT - 2012
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A radioactive nucleus of mass M emits a photon of frequency ν and the nucleus will recoil. The recoil energy will be:

1.  h2ν22Mc2

2.  zero

3.  c2M

4.  c2M

Subtopic:  De-broglie Wavelength |
 64%
From NCERT
AIPMT - 2011
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In the photoelectric emission process from a metal of work function 1.8 eV, the kinetic energy of most energetic electrons is 0.5 eV. The corresponding stopping potential is:

1.  1.3 V

2.  0.5 V

3.  2.3 V

4.  1.8 V

Subtopic:  Photoelectric Effect: Experiment |
 74%
From NCERT
AIPMT - 2011
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