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Q. No.The electric field associated with a light wave is given by \(E = E_0~ (\sin \omega_1 t)~ (\sin \omega_2 t)\).
This light wave falls on a metal having a threshold frequency, \(\nu_0.\) The maximum kinetic energy of the emitted photoelectrons will be: (\(h\) is Planck's constant)
This light wave falls on a metal having a threshold frequency, \(\nu_0.\) The maximum kinetic energy of the emitted photoelectrons will be: (\(h\) is Planck's constant)
| 1. | Either \(\dfrac{h \omega_{1}}{2 \pi}\) or \(\dfrac{h \omega_{2}}{2 \pi}\) |
| 2. | Either \(\left(\dfrac{h \omega_{1}}{2 \pi}-h \nu_{0}\right)\) or \(\left(\dfrac{h \omega}{2 \pi}-h \nu_{0}\right)\) |
| 3. | \(\dfrac{h\left(\omega_{1}+\omega_{2}\right)}{2 \pi}-h \nu_{0}\) |
| 4. | Both \(\dfrac{h\left(\omega_{1}+\omega_{2}\right)}{2 \pi}-h \nu_{0}\) and \(\dfrac{h\left |\omega_{1}-\omega_{2}\right|}{2 \pi}-h \nu_{0}\) |
Subtopic: Â Einstein's Photoelectric Equation |
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The stopping potential for electrons emitted from a photosensitive surface illuminated with light of wavelength \(491~\text{nm}\) is \(0.710~\text{V}.\) When the wavelength of the incident light changes, the stopping potential increases to \(1.43~\text{V}.\) The new wavelength is approximately:
1. \(329~\text{nm}\)
2. \(309~\text{nm}\)
3. \(382~\text{nm}\)
4. \(400~\text{nm}\)
Subtopic: Â Einstein's Photoelectric Equation |
 52%
From NCERT
JEE
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Photons of light of wavelength, \(\lambda=400\) nm are incident on a composite photocathode consisting of multiple regions with metals having work functions of \(2.1\) eV and \(1.1\) eV. The emitted photoelectrons are sent through a retarding potential difference, \(V_0\). What is the minimum value of \(V_0\) required to stop all electrons? (take: \(hc=1240\) eV-nm)
| 1. | \(1\) V | 2. | \(1.5\) V |
| 3. | \(2\) V | 4. | \(5.2\) V |
Subtopic: Â Einstein's Photoelectric Equation |
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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: Â Einstein's Photoelectric Equation |
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From NCERT
JEE
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Photons of frequency \(\nu\) fill a room. A metallic plate having a work function \(W\) \((<h\nu)\) is moved with a velocity \(v\), in this room. The maximum energy of the emitted photoelectrons: (in the plate's frame)
| 1. | does not depend on \(v\) |
| 2. | increases as \(v\) increases |
| 3. | decreases as \(v\) increases |
| 4. | first increases and then decreases as \(v\) is increased |
Subtopic: Â Einstein's Photoelectric Equation |
 57%
From NCERT
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Q. No.
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