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When photons of energy hv fall on an aluminiumplate (of work function E0), photoelectrons ofmaximum kinetic energy K are ejected. If thefrequency of the radiation is doubled, themaximum kinetic energy of the ejectedphotoelectrons will be     [2006]
  • a)
    2K
  • b)
    K
  • c)
    K + hv
  • d)
    K + E0
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
When photons of energy hv fall on an aluminiumplate (of work function ...
Applying Einstein's formula for photoelectricity
If we use 2v frequency then let the kinetic
energy becomes K'
So,
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Most Upvoted Answer
When photons of energy hv fall on an aluminiumplate (of work function ...
Explanation:
The energy of a photon is given by E = hv, where h is Planck's constant and v is the frequency of the radiation. When a photon falls on a metal plate, it can eject photoelectrons if its energy is greater than or equal to the work function of the metal (E0). The maximum kinetic energy of the ejected photoelectrons is given by the equation:

Kmax = E - E0

where Kmax is the maximum kinetic energy of the ejected photoelectrons, E is the energy of the incident photon, and E0 is the work function of the metal.

Now, let's consider what happens when the frequency of the radiation is doubled. According to the equation E = hv, doubling the frequency means doubling the energy of each photon. Therefore, the energy of the incident photon is now 2hv. Using the equation for the maximum kinetic energy of the ejected photoelectrons, we get:

Kmax' = 2hv - E0

Simplifying this equation, we get:

Kmax' = 2(E - E0)

Substituting the equation for E, we get:

Kmax' = 2Kmax

Therefore, when the frequency of the radiation is doubled, the maximum kinetic energy of the ejected photoelectrons is doubled as well. The correct answer is option C, K hv.
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