Let \(K_{1}\) and \(K_{2}\) be the maximum kinetic energies of photo-electrons emitted when two monochromatic beams of wavelength \(\lambda_1\) and \(\lambda_2\), respectively, are incident on a metallic surface. If \(\lambda_1 = 3 \lambda_2,\) then:
1. \(K_1>\dfrac{K_2}{3} \) 2. \({K}_1<\dfrac{{K}_2}{3} \)
3. \({K}_1=\dfrac{{K}_2}{3} \) 4. \({K}_2=\dfrac{{K}_1}{3}\)

Subtopic:  Einstein's Photoelectric Equation |
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An electron, an alpha particle, and a proton, all have the same kinetic energy. Which of the following relations is true regarding their de-Broglie wavelengths?
1. \(\lambda_{\text{electron}}< \lambda_{\text{alpha}}<\lambda_{\text{proton}}\)
2. \( \lambda_{\text{alpha}}<\lambda_{\text{proton}}<\lambda_{\text{electron}}\)
3. \(\lambda_{\text{alpha}}>\lambda_{\text{proton}}>\lambda_{\text{electron}}\)
4. \(\lambda_{\text{proton}}>\lambda_{\text{alpha}}>\lambda_{\text{electron}}\)
Subtopic:  De-broglie Wavelength |
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The stopping potential \({(V)}\) versus frequency \({(f)}\) of incident radiation is plotted for two photoelectric surfaces \({A}\) and \({B}.\) We can say that the work function of \({A}\):
                                    
1. is equal to that of \({B}\)
2. is greater than that of \({B}\)
3. is smaller than that of \({B}\)
4. cannot be related to that of \({B}\) from the graph
Subtopic:  Einstein's Photoelectric Equation |
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The de-Broglie wavelength of an electron, when accelerated through a potential difference of \(49~\text{V},\) is nearly:
1. \(0.0175~\text{nm}\)
2. \(0.175~\text{nm}\)
3. \(0.175~\mu\text{m}\)
4. \(0.175~\text{mm}\)
Subtopic:  De-broglie Wavelength |
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The threshold frequency of a photoelectric metal is \(\nu_0.\) If the light of frequency \(4\nu_0\) is incident on this metal, then the maximum kinetic energy of emitted electrons will be:
1. \(h\nu_0\) 2. \(2h\nu_0\)
3. \(3h\nu_0\) 4. \(4h\nu_0\)
Subtopic:  Einstein's Photoelectric Equation |
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The light rays having photons of energy \(4.2~\text{eV}\) are falling on a metal surface having a work function of \(2.2~\text{eV}.\) The stopping potential of the surface is:
1. \(2~\text{eV}\)
2. \(2~\text{V}\)
3. \(1.1~\text{V}\)
4. \(6.4~\text{V}\)
Subtopic:  Einstein's Photoelectric Equation |
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NEET - 2022
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Two beams of monochromatic light of frequencies \(\nu_1\) and \(\nu_2,\) are incident on the surface of a photo-sensitive material. Photo electrons are emitted with maximum kinetic energies \(E_1\) and \(E_2,\) respectively. If the ratio \(E_1:E_2=1:n\), the cut-off frequency for the material is:
1. \(\dfrac{n\nu_1+\nu_2}{n+1}\) 2. \(\dfrac{n\nu_1-\nu_2}{n-1}\)
3. \(\dfrac{n\nu_1-\nu_2}{n+1}\) 4. \(\dfrac{n\nu_1+\nu_2}{n-1}\)
Subtopic:  Einstein's Photoelectric Equation |
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A nucleus of mass \(M,\) initially at rest, splits into two fragments with masses \(\dfrac{M'}{ 3}\) and \(\dfrac{2M'} { 3}\) \((M'<M).\) The ratio of the de-Broglie wavelengths of the two fragments is:
1. \(1:2\) 2. \(2:1\)
3. \(1:1\) 4. \(2:3\)
Subtopic:  De-broglie Wavelength |
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The ratio of wavelengths of proton and deuteron accelerated by potential \(V_{p}\) and \(V_{d}\) is \(1:\sqrt2.\) Then, the ratio of \(V_{p}\) to \(V_{d}\) will be:
1. \(1:1\)
2. \(\sqrt 2: 1\)
3. \(2:1\) 
4. \(4:1\) 
Subtopic:  De-broglie Wavelength |
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Light of two different frequencies whose photons have energies \(1~\text{eV}\) and \(2.5~\text{eV}\) respectively, successively illuminate a metal whose work function is \(0.5~\text{eV}\). The ratio of the maximum speeds of the emitted electrons will be:
1. \(1:5\)
2. \(1:4\)
3. \(1:2\)
4. \(1:1\)
Subtopic:  Einstein's Photoelectric Equation |
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