​​​When a metallic surface is illuminated with radiation of wavelength \(\lambda\), the stopping potential is \({V}\). If the same surface is illuminated with radiation of wavelength \(2\lambda\), the stopping potential is \(\frac{{V}}{4}\). The threshold wavelength for the metallic surface is:
1. \(5\lambda\)
2. \(\frac{5}{2} \lambda\)
3. \(3\lambda\)
4. \(4\lambda\)

Subtopic:  Einstein's Photoelectric Equation |
 76%
From NCERT
NEET - 2016
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A particle is dropped from a height \(H.\) The de-Broglie wavelength of the particle as a function of height is proportional to:
1. \(H\)
2. \(H^{1/2}\)
3. \(H^{0}\)
4. \(H^{-1/2}\)

Subtopic:  De-broglie Wavelength |
 65%
From NCERT
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An electron (mass \(m\)) with an initial velocity \(\overrightarrow{\mathrm{v}}=\mathrm{v}_0 \hat{\mathrm{i}}\) (\(\mathrm{v}_0>0\)is in an electric field \(\overrightarrow{\mathrm{E}}=-\mathrm{E}_0 \hat{\mathrm{i}}\)(\(E_o\)=constant\(>0\)). Its de-Broglie wavelength at time \(t\) is given by:

1. \(\frac{\lambda_0}{\left(1+\frac{e E_0}{m} \frac{t}{\mathrm{v}_0}\right)}\) 2. \(\lambda_0\left(1+\frac{e E_0 t}{m \mathrm{v}_0}\right)\)
3. \(\lambda_0 \) 4. \(\lambda_0t\)
Subtopic:  De-broglie Wavelength |
 76%
From NCERT
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According to Einstein's photoelectric equation, the graph between the kinetic energy of photoelectrons ejected and the frequency of incident radiation is:

1.   2.
3. 4.
Subtopic:  Einstein's Photoelectric Equation |
 77%
From NCERT
AIPMT - 2004
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Which of the following is not the property of cathode rays:

1. it produces a heating effect.
2. it does not deflect in the electric field.
3. it casts a shadow.
4. it produces fluorescence.
Subtopic:  Electron Emission |
 67%
From NCERT
AIPMT - 2002
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Which one among the following shows the particle nature of light?
1. Photoelectric effect
2. Interference
3. Refraction
4. Polarisation

Subtopic:  Particle Nature of Light |
 90%
From NCERT
AIPMT - 2001
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A photo-cell is illuminated by a source of light, which is placed at a distance \(d\) from the cell. If the distance becomes \(\frac{d}{2}\), then the number of electrons emitted per second will be: 
1. same
2. four times
3. two times
4. one-fourth

Subtopic:  Photoelectric Effect: Experiment |
 70%
From NCERT
AIPMT - 2001
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J.J. Thomson's cathode-ray tube experiment
demonstrated that:
 

1. cathode rays are streams of negatively
charged ions
2. all the mass of an atom is essentially in the nucleus
3. the e/m of electrons is much greater
than the e/m of protons
4. the e/m ratio of the cathode ray particles changes when a different gas is
placed in the discharge tube
Subtopic:  Electron Emission |
 53%
From NCERT
AIPMT - 2003
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The work function of cesium is \(2.14\) eV. The threshold frequency for cesium is:
1. \(5.03\times10^{12}\) Hz
2. \(6.12\times10^{14}\) Hz
3. \(5.16\times10^{14}\) Hz
4. \(6.51\times10^{12}\) Hz

Subtopic:  Particle Nature of Light |
 70%
From NCERT
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The work function of caesium is \(2.14~\text{eV}\). The wavelength of incident light if the photocurrent is brought to zero by a stopping potential of \(0.60~\text{V}\) will be:
1. \(454~\text{nm}\)
2. \(440~\text{nm}\)
3. \(333~\text{nm}\)
4. \(350~\text{nm}\)

Subtopic:  Einstein's Photoelectric Equation |
 61%
From NCERT
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