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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 emitted electrons? (2020)

Options:

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

Correct Answer: It quadruples

Exam Year: 2020

Solution: 

Kinetic energy (KE) = hf - Ο†. If frequency is doubled, KE increases by a factor of 4.

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 emitted electrons? (2020)
  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 emitted electrons? (2020)
  • Step 1: Understand the photoelectric effect. It describes how light can cause 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: If the frequency (f) of the incident light is doubled, we replace f with 2f in the formula: KE = h(2f) - Ο†.
  • Step 4: Simplify the new equation: KE = 2hf - Ο†.
  • Step 5: Compare the new kinetic energy (2hf - Ο†) with the original kinetic energy (hf - Ο†).
  • Step 6: Notice that the new kinetic energy is twice the original kinetic energy plus the same work function: KE_new = 2(KE_original + Ο†) - Ο†.
  • Step 7: This means that the kinetic energy increases, and specifically, it increases by a factor of 4 because the energy 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 – Doubling the frequency of incident light increases the energy of the photons, which in turn affects the kinetic energy of the emitted electrons.
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