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Plot a Graph Showing the Variation of Photoelectric Current with Collector Plate Potential at a Given Frequency but for Two Different Intensities I1 And I2, Where I2 > I1.

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Question

Plot a graph showing the variation of photoelectric current with collector plate potential at a given frequency but for two different intensities I1 and I2, where I2 > I1.

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Solution

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2013-2014 (March) Foreign Set 3

RELATED QUESTIONS

Write Einstein’s photoelectric equation?


Briefly explain the three observed features which can be explained by Einstein’s photoelectric equation.


Define the terms (i) ‘cut-off voltage’ and (ii) ‘threshold frequency’ in relation to the phenomenon of photoelectric effect.

Using Einstein’s photoelectric equation shows how the cut-off voltage and threshold frequency for a given photosensitive material can be determined with the help of a suitable plot/graph.


A non-monochromatic light is used in an experiment on photoelectric effect. The stopping potential


The electric field at a point associated with a light wave is `E = (100  "Vm"^-1) sin [(3.0 xx 10^15 "s"^-1)t] sin [(6.0 xx 10^15 "s"^-1)t]`.If this light falls on a metal surface with a work function of 2.0 eV, what will be the maximum kinetic energy of the photoelectrons?

(Use h = 6.63 × 10-34J-s = 4.14 × 10-15 eV-s, c = 3 × 108 m/s and me = 9.1 × 10-31kg)


Consider the situation of the previous problem. Consider the faster electron emitted parallel to the large metal plate. Find the displacement of this electron parallel to its initial velocity before it strikes the large metal plate.

(Use h = 6.63 × 10-34J-s = 4.14 × 10-15 eV-s, c = 3 × 108 m/s and me = 9.1 × 10-31kg)


How does one explain the emission of electrons from a photosensitive surface with the help of Einstein’s photoelectric equation? 


  1. In the explanation of photo electric effect, we assume one photon of frequency ν collides with an electron and transfers its energy. This leads to the equation for the maximum energy Emax of the emitted electron as Emax = hν – φ where φ0 is the work function of the metal. If an electron absorbs 2 photons (each of frequency ν) what will be the maximum energy for the emitted electron?
  2. Why is this fact (two photon absorption) not taken into consideration in our discussion of the stopping potential?

A student performs an experiment on photoelectric effect, using two materials A and B. A plot of Vstop vs ν is given in Figure.

  1. Which material A or B has a higher work function?
  2. Given the electric charge of an electron = 1.6 × 10–19 C, find the value of h obtained from the experiment for both A and B.

Comment on whether it is consistent with Einstein’s theory:


If c is the velocity of light in free space, the correct statements about photon among the following are:

  1. The energy of a photon is E = hv.
  2. The velocity of a photon is c.
  3. The momentum of a photon, ρ = `(h v)/c`.
  4. In a photon-electron collision, both total energy and total momentum are conserved.
  5. Photon possesses positive charge.

Choose the correct answer from the options given below:


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