Radiation with wavelength \(\lambda\) is incident on a photocell, causing the fastest emitted electron to have a speed \(v.\) If the wavelength is changed to \(\dfrac{3\lambda}{4},\) what will be the speed of the fastest emitted electron?
1. \( >v\left(\dfrac{4}{3}\right)^{\frac{1}{2}} \)
2. \( <v\left(\dfrac{4}{3}\right)^{\frac{1}{2}} \)
3. \( =v\left(\dfrac{4}{3}\right)^{\frac{1}{2}} \)
4. \( =v\left(\dfrac{3}{4}\right)^{\frac{1}{2}}\)

Subtopic:  Photoelectric Effect: Experiment |
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An electron beam is accelerated by a potential difference \(V\) to hit a metallic target to produce \({X}\)-ray. It produces continuous as well as characteristic \({X}\)-rays. If \(\lambda_{\text{min}}\) is the smallest possible wavelength of \({X}\)-ray in the spectrum, the variation of \(\log \lambda_{\text{min}}\) with \(\log V\) is correctly represented in:

1.   2.  
3.   4.  
Subtopic:  Photoelectric Effect: Experiment |
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The figure shows the stopping potential \(V_0\)​ (in volts), as a function of frequency \(\nu,\) for a sodium emitter. From the data plotted in the graph, what is the work function of sodium?
(Given: Planck’s constant, \(h=\) \(6.63\times 10^{-34}~\text{J-s}\) and the charge of an electron, \(e=1.6\times 10^{-19}~\text{C}\))

1. \(1.95~\text{eV}\) 2. \(2.12~\text{eV}\)
3. \(1.82~\text{eV}\) 4. \(1.66~\text{eV}\)
Subtopic:  Photoelectric Effect: Experiment |
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In a photoelectric effect experiment, the graph of stopping potential \(V\) versus reciprocal of wavelength obtained is shown in the figure. As the intensity of incident radiation is increased:

 

1. slope of the straight line get more steep.
2. straight line shifts to the right.
3. graph does not change.
4. straight line shifts to the left.
Subtopic:  Photoelectric Effect: Experiment |
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An electron with speed \(v\) and a photon with speed \(c\) have the same de-Broglie wavelength. If the kinetic energy and momentum of the electron are \(E_e\) and \(\rho_e\) and that of photon are \(E_{ph}\) and \(\rho_{ph}\) respectively. Which of the following is correct? 
1. \(\frac{E_e}{E_{p h}}=\frac{2 c}{v} \)
2. \(\frac{E_e}{E_{p h}}=\frac{v}{2 c} \)
3. \( \frac{{p}_{e}}{{p}_{ph}}=\frac{2{c}}{{v}} \)
4. \( \frac{p_{e}}{p_{ph}}=\frac{v}{2 c}\)
Subtopic:  Photoelectric Effect: Experiment | De-broglie Wavelength |
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Given below are two statements: 
Assertion (A): The photoelectric effect does not take place if the energy of the incident radiation is less than the work function of a metal.
Reason (R): Kinetic energy of the photoelectrons is zero if the energy of the incident radiation is equal to the work function of a metal.
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Photoelectric Effect: Experiment |
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With reference to the observations in photo-electric effect, identify the correct statements from below:
A. The square of maximum velocity of photoelectrons varies linearly with frequency of incident light.
B. The value of saturation current increases on moving the source of light away from the metal surface.
C. The maximum kinetic energy of photo-electrons decreases on decreasing the power of LED (light emitting diode) source of light.
D. The immediate emission of photo-electrons out of metal surface can not be explained by particle nature of light/electromagnetic waves.
E. Existence of threshold wavelength can not be explained by wave nature of light/electromagnetic waves.
Choose the correct answer from the options given below:
1. (A) and (B) only
2. (A) and (E) only
3. (C) and (E) only
4. (D) and (E) only
Subtopic:  Photoelectric Effect: Experiment |
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Which of the following statements correctly describes the photoelectric effect?

1. The maximum kinetic energy of emitted electrons depends on the intensity of light.
2. The stopping potential depends only on the work function of the metal.
3. The photoelectric effect can be explained using the wave nature of light.
4. The photoelectric effect is best explained by the particle nature of light.

Subtopic:  Photoelectric Effect: Experiment |
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The work functions of two metals are \(9~\text{eV}\) and \(4.5~\text{eV},\) respectively. What is the approximate difference between their threshold wavelengths? \((\text{use}~hc=1240~\text{eV-nm})\)
1. \(138~\text{nm}\) 2. \(130~\text{nm}\)
3. \(112~\text{nm}\) 4. \(145~\text{nm}\)
Subtopic:  Photoelectric Effect: Experiment |
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Given below are two statements :

Assertion A: Number of photons increases with increase in frequency of light.
Reason R: Maximum kinetic energy of emitted electrons increases with the frequency of incident radiation.

Choose the most appropriate answer from the options given below :
1.
Both A and R are correct and R is not the correct explanation of A
2.
Both A and R are correct and R is the correct explanation of A
3.
A is correct but R is not correct
4.
A is not correct but R is correct.
Subtopic:  Photoelectric Effect: Experiment |
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