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If the frequency of incident light is doubled, what happens to the kinetic energ

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Question: If the frequency of incident light is doubled, what happens to the kinetic energy of the emitted electrons?

Options:

  1. It remains the same
  2. It doubles
  3. It quadruples
  4. It decreases

Correct Answer: It doubles

Solution: 

The kinetic energy of the emitted electrons is given by KE = hf - Ο†. If the frequency is doubled, the kinetic energy increases as it is directly proportional to frequency.

If the frequency of incident light is doubled, what happens to the kinetic energ

Practice Questions

Q1
If the frequency of incident light is doubled, what happens to the kinetic energy of the emitted electrons?
  1. It remains the same
  2. It doubles
  3. It quadruples
  4. It decreases

Questions & Step-by-Step Solutions

If the frequency of incident light is doubled, what happens to the kinetic energy of the emitted electrons?
Correct Answer: Kinetic energy increases.
  • Step 1: Understand that the kinetic energy (KE) of emitted electrons is calculated using the formula KE = hf - Ο†, where h is Planck's constant, f is the frequency of the incident light, and Ο† is the work function (the energy needed to remove an electron).
  • Step 2: Recognize that if the frequency (f) of the incident light is doubled, it means we are increasing the value of f in the formula.
  • Step 3: Since KE is directly proportional to frequency (f), if we double f, the term hf in the formula also doubles.
  • Step 4: Therefore, when the frequency is doubled, the kinetic energy of the emitted electrons increases.
  • Photoelectric Effect – The phenomenon where electrons are emitted from a material when it absorbs light, with kinetic energy dependent on the frequency of the incident light.
  • Kinetic Energy Equation – The relationship between the kinetic energy of emitted electrons, the frequency of incident light, and the work function of the material, expressed as KE = hf - Ο†.
  • Direct Proportionality – Understanding that kinetic energy is directly proportional to the frequency of the incident light in the context of the photoelectric effect.
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