A photoelectric surface is illuminated successively by the monochromatic light of wavelength \(\lambda\) 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 mineral is:
[\(h\)=Plank’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 |
 72%
From NCERT
NEET - 2015
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Light of wavelength \(500~\text{nm}\) is incident on metal with work function \(2.28~\text{eV}\). The de-Broglie wavelength of the emitted electron is:
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. \(\leq 2.8\times 10^{-12}~\text{m}\)

Subtopic:  De-broglie Wavelength |
 61%
From NCERT
NEET - 2015
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Radiation of energy \(E\) falls normally on a perfectly reflecting surface. The momentum transferred to the surface is:
(\(c\) = velocity of light)
1. \(E \over c\)
2. \(2E \over c\)
3. \(2E \over c^2\) 
4. \(E \over c^2\)

Subtopic:  Particle Nature of Light |
 71%
From NCERT
NEET - 2015
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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 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 |
 86%
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 |
 61%
From NCERT
AIPMT - 2013
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A source of light is placed at a distance of \(50\) cm from a photocell and the stopping potential is found to be \(V_0\). If the distance between the light source and photocell is made \(25\) cm, the new stopping potential will be: 
1. \(V_0 /2\)
2. \(V_0 \)
3. \(4V_0 \)
4. \(2V_0 \)
Subtopic:  Photoelectric Effect: Experiment |
 75%
From NCERT
NEET - 2013
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