Question

When light of wavelength \( \lambda \) incidents on a photosensitive material, photoelectrons are emitted. If the wavelength of the incident light is reduced by 50\%, the maximum kinetic energy of the emitted photoelectrons becomes 3 times the initial maximum kinetic energy. The work function of the material is:

• A. \( \frac{hc}{\lambda} \)
• B. \( \frac{hc}{2 \lambda} \)
• C. \( \frac{2hc}{\lambda} \)
• D. \( \frac{3hc}{\lambda} \)

Hint:

The work function relates to the maximum kinetic energy of the emitted photoelectrons and the frequency (or wavelength) of incident light.

Answer 1

The Correct Option is B

The work function of the material is related to the change in kinetic energy of the emitted photoelectrons when the wavelength is halved, as described by Einstein's photoelectric equation. Thus, the correct answer is option (2).