Photoelectrons emerging from a photocathode (work function: \(2.2~\text{eV}\)) are allowed to fall onto a gas containing hydrogen atoms in the ground state and the first excited state. What is the minimum energy of the photons incident on the photo-cathode that will cause the photoelectrons to transfer energy to the \(\mathrm{H\text-}\)atoms?
1. \(13.6~\text{eV}+2.2~\text{eV}\)
2. \((10.2+2.2)~\text{eV}\)
3. \((3.4+2.2)~\text{eV}\)
4. \((1.89+2.2)~\text{eV}\)
Subtopic:  Photoelectric Effect: Experiment |
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When an electron makes a transition from the state \(n\) to \((n-1)\) the change in the de-Broglie wavelength of the electron: \(\Delta\lambda=|\lambda_n-\lambda_{n-1}|\)
varies with large \(n\) as:
1. \(\dfrac{1}{n}\)
2. \(\dfrac{1}{n^2}\)
3. \(\dfrac{1}{n^4}\)
4. \(n^0,\text{ constant}\)
Subtopic:  De-broglie Wavelength |
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The de-Broglie wavelength of a photon of energy \(E\) is \(\lambda_{ph}\) and that of an electron (non-relativistic) of the same energy \(E\) is \(\lambda_{e}.\) Then (assume \(E\text ~\)few \(e\text{V}\)):
1. \(\lambda_{ph}=\lambda_e\)
2. \(\lambda_{ph}<\lambda_e\)
3. \(\lambda_{ph}>\lambda_e\)
4. any of the above may be true
Subtopic:  De-broglie Wavelength |
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Photons of wavelength \(\lambda\) cause the emission of photoelectrons from a metallic surface, the de-Broglie wavelength of the fastest photoelectron being \(\lambda_d\). A graph of \(\dfrac{1}{\lambda} \text { vs } \dfrac{1}{\lambda_{d}}\) is:
1. a straight line passing through the origin.
2. a circle.
3. an ellipse.
4. a parabola.
Subtopic:  De-broglie Wavelength |
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Which, of the following circuits, can be used for measuring the stopping potential?
1.  
2.
3.
4.
Subtopic:  Photoelectric Effect: Experiment |
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All particles having a momentum of \(p\) are associated with wave-like behaviour and the wavelength, \(\lambda=h/p,\) where \(h\) is Planck's constant. Two particles \(A\) and \(B\) collide with each other, and come to rest. The de-Broglie wavelengths of \(A,B\) are \(\lambda_A,\lambda_B\) (before collision); while their masses are \(m_A,m_B.\) Then:
1. \(\lambda_A=\lambda_B\) only if \(m_A=m_B\)
2. \(\lambda_Am_A=\lambda_Bm_B\)
3. \(\Large\frac{\lambda_A}{m_A}=\frac{\lambda_B}{m_B}\)
4. \(\lambda_A=\lambda_B,\) independent of \(m_A\) or \(m_B\)
Subtopic:  De-broglie Wavelength |
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If the de-Broglie wavelength of an electron in a Bohr orbit be \(\lambda_B,\) then the total energy in the \(n^{\text{th}}\) orbit is:
1. \(\propto\lambda_B\) 2. \(\propto{\Large\frac{1}{\lambda_B}}\)
3. \(\propto\lambda_B^{~2}\) 4. \(\propto{\Large\frac{1}{\lambda_B^{~2}}}\)
Subtopic:  De-broglie Wavelength |
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During an experiment on the photoelectric effect, it was observed that (monochromatic light) photons incident on a photocathode, ejected electrons whose minimum de-Broglie wavelength was \(6.2~\mathring{A}.\) The work-function of the surface was \(1~\text{eV}.\) The energy of the incident photons was: \(\Bigg(\)one can use the formula \(\lambda_{dB}={\Large\frac{12.4}{\sqrt{E_k}}}\mathring{A}\Bigg)\)
1. \(101~\text{eV}\)
2. \(3~\text{eV}\)
3. \(4~\text{eV}\)
4. \(5~\text{eV}\)
Subtopic:  Photoelectric Effect: Experiment |
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In an experiment on the photoelectric effect, light of wavelength \(\lambda\) is used: but no photocurrent is observed, even when an accelerating voltage is applied to the cathode. Then, which of the following actions may cause a photocurrent?
1. Increase in intensity of light
2. Increase in accelerating voltage
3. Decrease in the wavelength of light
4. Decrease in the intensity of light
Subtopic:  Photoelectric Effect: Experiment |
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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:  Einstein's Photoelectric Equation |
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