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In the photoelectric effect, if the frequency of incident light is doubled, what

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Question: In the photoelectric effect, if the frequency of incident light is doubled, what happens to the kinetic energy of the emitted electrons?

Options:

  1. It doubles
  2. It quadruples
  3. It remains the same
  4. It becomes zero

Correct Answer: It quadruples

Solution: 

The kinetic energy of the emitted electrons is given by KE = hf - Ο†. If the frequency is doubled, the kinetic energy increases by a factor of four, since KE is proportional to the frequency.

In the photoelectric effect, if the frequency of incident light is doubled, what

Practice Questions

Q1
In the photoelectric effect, if the frequency of incident light is doubled, what happens to the kinetic energy of the emitted electrons?
  1. It doubles
  2. It quadruples
  3. It remains the same
  4. It becomes zero

Questions & Step-by-Step Solutions

In the photoelectric effect, if the frequency of incident light is doubled, what happens to the kinetic energy of the emitted electrons?
Correct Answer: Kinetic energy increases by a factor of four.
  • Step 1: Understand the photoelectric effect. It is the phenomenon where light causes electrons to be emitted from a material.
  • Step 2: Know the formula for kinetic energy (KE) of emitted electrons: KE = hf - Ο†, where 'h' is Planck's constant, 'f' is the frequency of the incident light, and 'Ο†' is the work function of the material.
  • Step 3: Recognize that if the frequency 'f' of the incident light is doubled, we replace 'f' with '2f' in the formula.
  • Step 4: Substitute '2f' into the kinetic energy formula: KE = h(2f) - Ο†.
  • Step 5: Simplify the equation: KE = 2hf - Ο†.
  • Step 6: Compare the new kinetic energy (2hf - Ο†) with the original kinetic energy (hf - Ο†).
  • Step 7: Notice that the new kinetic energy is twice the original kinetic energy plus the same work function Ο†, which means the kinetic energy increases.
  • Step 8: Understand that since KE is proportional to frequency, if the frequency is doubled, the kinetic energy increases by a factor of four (since KE is proportional to the square of the frequency).
  • Photoelectric Effect – The phenomenon where electrons are emitted from a material when it is exposed to light of sufficient frequency.
  • Kinetic Energy of Electrons – The energy of emitted electrons is determined by the equation KE = hf - Ο†, where h is Planck's constant, f is the frequency of the incident light, and Ο† is the work function of the material.
  • Frequency and Kinetic Energy Relationship – The kinetic energy of emitted electrons is directly proportional to the frequency of the incident light.
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