In the case of the photoelectric effect:

1. Since photons are absorbed as single (discrete) units, there is no significant time delay in the emission of photoelectrons.
2. According to Einstein, the critical frequency \(\nu_{0} =\dfrac{e\phi }{h},\) where \(\phi\) is the work function and \(h\) is Planck’s constant. When light with this frequency \((\nu_0)\) hits the material, it causes electrons to be ejected with the maximum possible kinetic energy.
3. Only a small fraction of the incident photons succeed in ejecting photoelectrons, while the majority are absorbed by the system as a whole and generate thermal energy.
4. The maximum kinetic energy of the electrons depends on the intensity of the radiation.

Subtopic:  Photoelectric Effect: Experiment |
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The curves (1), (2), (3) and (4) show the variation between the applied potential difference \((V)\) and the photoelectric current \((i)\), at two different intensities of light \((I_1>I_2)\). In which figure is the correct variation shown?
1.    2.
3. 4.
Subtopic:  Photoelectric Effect: Experiment |
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When monochromatic photons of wavelength \(4000~\mathring{A}\) are incident on the metal plate of work function \(2.1~\text{eV},\) what will be the stopping potential for the photocurrent?
1. \(1~\text V\)  2. \(2.1~\text V\) 
3. \(3.1~\text V\)  4. Zero
Subtopic:  Einstein's Photoelectric Equation |
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When a point source of monochromatic light is at a distance of \(0.2~\text m\) from a photoelectric cell, the cut-off voltage and saturation current are \(0.6\) volt and \(18~\text{mA}\) respectively. What will happen if the same source is placed \(0.6~\text m\) away from the photoelectric cell?
1. the stopping potential will be \(0.2\) volt.
2. the stopping potential will be \(0.6\) volt.
3. the saturation current will be \(6~\text{mA}.\) 
4. the saturation current will be \(18~\text{mA}.\) 
Subtopic:  Einstein's Photoelectric Equation |
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The correct graph between photoelectric current \((i)\) and intensity \((I)\) is:

1.   2.   
3. 4.  
Subtopic:  Photoelectric Effect: Experiment |
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The variation of the kinetic energy \((K)\) of photoelectrons as a function of the frequency \((f)\) of the incident radiation is best shown by:
1.   2.
3. 4.
Subtopic:  Einstein's Photoelectric Equation |
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The correct graph between the maximum energy of a photoelectron \(\left(K_{max}\right)\) and the inverse of the wavelength \(\left(\frac{1}{\lambda}\right)\) of the incident radiation is given by the curve:


   
1. \(A\) 2. \(B\)
3. \(C\) 4. None of these
Subtopic:  Einstein's Photoelectric Equation |
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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. \(1~\mathring{A}\)
2. \(0.1~\mathring{A}\)
3. \(10~\mathring{A}\)
4. \(0.01~\mathring{A}\)

Subtopic:  De-broglie Wavelength |
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AIPMT - 2012
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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. \(\sqrt{\dfrac{h\nu}{m}}\) 2. \(\sqrt{\dfrac{2h\nu}{m}}\)
3. \(2\sqrt{\dfrac{h\nu}{m}}\) 4. \(\sqrt{\dfrac{h\nu}{2m}}\)
Subtopic:  Einstein's Photoelectric Equation |
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AIPMT - 2013
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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 |
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AIPMT - 2014
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