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In an experiment involving the photoelectric effect, if the intensity of the incident light (having frequency higher than the threshold frequency) is reduced by a factor of 10 without changing anything else, which (if any) of the following statements about this process will be true? (a) The number of photoelectrons will most likely be reduced by a factor of 10. (b) The maximum kinetic energy of the ejected photoelectrons will most likely be reduced by a factor of 10. (c) The maximum speed of the ejected photoelectrons will most likely be reduced by a factor of 10. (d) The maximum speed of the ejected photoelectrons will most likely be reduced by a factor of 110. (e) The time for the first photoelectron to be ejected will be increased by a factor of 10.

Short Answer

Expert verified

The correct option is (a).

Step by step solution

01

(a) Concept of photoelectric effect.

The photoelectric effect is the ejection of surface electrons in a metal when photon strikes. The mathematical expression governing the effect and giving the maximum kinetic energy of the ejected electrons is,

K.Emax=hf-ΦeV0=hf-hf0 ...(i)

Where Φthe work function, hf is the energy of the striking photon, f0 is the threshold frequency and V0 is the stopping potential that reduces the current to zero.

02

(b) Explanation of the argument.

One photon strike ejects one electron. Thus by changing the current of the incident photons only changes the magnitude of the photocurrent of the ejected electrons while keeping everything else the same. The maximum kinetic energy and the velocity of photoelectrons only depends on the energy of the incident photons and in this case they remain unchanged. Thus, the number of photoelectrons only is increased to 10 times.

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Most popular questions from this chapter

The photoelectric work function of potassium is 2.3eV. If light that has a wavelength 190nm of falls on potassium, find (a) the stopping potential in volts; (b) the kinetic energy, in electron volts, of the most energetic electrons ejected; (c) the speed of these electrons.

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