A light of wavelength \(\lambda \) is incident on the metal surface and the ejected fastest electron has speed \(v.\) If the wavelength is changed to \(\frac{3\lambda}{4},\) then the speed of the fastest emitted electron will be:

1. smaller than \(\sqrt{\frac{4}{3}}v\)
2. greater than \(\sqrt{\frac{4}{3}}\)\(v\)
3. \(2v\)
4. zero
Subtopic:  Einstein's Photoelectric Equation |
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The work function of a metal surface is \(\phi = 1.5\) eV. If a light of wavelength \(5000~\mathring{A}\) falls on it, then the maximum K.E of the ejected electron will be:
1. \(1.2\) eV 2. \(0.98\) eV
3. \(0.45\) eV 4. \(0\) eV
Subtopic:  Einstein's Photoelectric Equation |
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Light of wavelength \(3000 ~{\mathring{A}}\) in Photoelectric effect gives electron of maximum kinetic energy \(0.5 ~\text{eV}\). If the wavelength changes to \(2000 ~{\mathring{A}}\) then the maximum kinetic energy of emitted electrons will be:
1. less than \(0.5 ~\text{eV}\).
2. \(0.5 ~\text{eV}\).
3. greater than \(0.5 ~\text{eV}\).
4. the photoelectric effect does not occur.
Subtopic:  Einstein's Photoelectric Equation |
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What did Einstein prove by the photo-electric effect?
1. \(E = h\nu\)
2. \(K.E = \frac{1}{2}mv^2\)
3. \(E= mc^2\)
4. \(E = \frac{-Rhc^2}{n^2}\)

Subtopic:  Einstein's Photoelectric Equation |
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The value of Planck's constant is:

1. \(6.63\times 10^{-34}~\text{J/s}\) 2. \(6.63\times 10^{-34}~\text{kg-}\text{m}^2\text{/s}\)
3. \(6.63\times 10^{-34}~\text{kg-}\text{m}^2\) 4. \(6.63\times 10^{-34}~\text{J-s}^2\)
Subtopic:  Einstein's Photoelectric Equation |
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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 |
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The work functions for metals \(A,B,\) and \(C\) are respectively \(1.92\) eV, \(2.0\) eV, and \(5\) eV. According to Einstein's equation, the metals that will emit photoelectrons for a radiation of wavelength \(4100~\mathring{A}\) is/are:
1. None
2. \(A\) only
3. \(A\) and \(B\) only
4. All the three metals

Subtopic:  Einstein's Photoelectric Equation |
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A photosensitive metallic surface has a work function of \(h\nu_0\). If photons of energy \(2h\nu_0\) fall on this surface, the electrons come out with a maximum velocity of \(4\times10^{6}\) m/s. When the photon energy is increased to \(5h\nu_0\), then the maximum velocity of photoelectrons will be:
1. \(2\times 10^7~\text{m/s}\)
2. \(2\times 10^6~\text{m/s}\)
3. \(8\times 10^5~\text{m/s}\)
4. \(8\times 10^6~\text{m/s}\)

Subtopic:  Einstein's Photoelectric Equation |
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