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The kinetic energy of photo electrons de...

The kinetic energy of photo electrons depends on
(A) Frequency of incident radiation
(B) Velocity of incident radiation
(C) Intensity of incident radiation
(D) Wavelength of incident radiation

A

Both (A) and B

B

Both A and D

C

Both B and C

D

Both C and D

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the dependence of the kinetic energy of photoelectrons, we can analyze each option provided: 1. **Understanding the Photoelectric Effect**: - The photoelectric effect describes the phenomenon where electrons are ejected from a metal surface when it is exposed to light (or electromagnetic radiation). - The energy of the incident light is crucial in determining the kinetic energy of the emitted electrons. 2. **Analyzing Each Option**: - **(A) Frequency of incident radiation**: - The energy of a photon is given by the equation \( E = h\nu \), where \( h \) is Planck's constant and \( \nu \) is the frequency. Therefore, the kinetic energy of the emitted electrons is directly proportional to the frequency of the incident radiation. - **Conclusion**: This option is correct. - **(B) Velocity of incident radiation**: - The velocity of light is constant in a vacuum and does not affect the energy of the photons. The kinetic energy of photoelectrons does not depend on the velocity of the radiation. - **Conclusion**: This option is incorrect. - **(C) Intensity of incident radiation**: - The intensity of light relates to the number of photons hitting the surface per unit time. While increasing intensity can increase the number of emitted electrons, it does not affect the kinetic energy of each individual electron. - **Conclusion**: This option is incorrect. - **(D) Wavelength of incident radiation**: - Wavelength is inversely related to frequency by the equation \( c = \lambda\nu \) (where \( c \) is the speed of light). Since energy is inversely proportional to wavelength, a shorter wavelength corresponds to higher energy and thus higher kinetic energy of emitted electrons. - **Conclusion**: This option is correct. 3. **Final Answer**: - The kinetic energy of photoelectrons depends on both the frequency and the wavelength of the incident radiation. Therefore, the correct options are (A) and (D). ### Summary of the Solution: - The kinetic energy of photoelectrons depends on: - (A) Frequency of incident radiation (Correct) - (B) Velocity of incident radiation (Incorrect) - (C) Intensity of incident radiation (Incorrect) - (D) Wavelength of incident radiation (Correct) Thus, the answer is **(A) and (D)**.
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