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MHT CET202520 Apr 2025Morning ShiftPhysicsDual Nature of MatterActual

Light of wavelength ' ' falls on a metal having work function hc ₀ . Photoelectric effect will take place only if ( ₀ is the threshold wavelength)

Options

  1. A₀
  2. B2 ₀
  3. C< ₀
  4. D=4 ₀

Correct answer

C. < ₀

Step-by-step solution

The photoelectric effect requires incident photon energy E to exceed the metal's work function . Using E = hc and = hc ₀ , the threshold requirement becomes hc hc ₀ . Simplifying: 1 1 ₀ , yielding ₀ after taking reciprocals, noting the inequality reversal for positive quantities. Analyzing the options: Option C ( , guaranteeing the effect with non-zero kinetic energy. Options A ( ₀ ), B ( 2 ₀ ), and D ( = 4 ₀ ) each imply E (or lower), making the effect either marginal or impossible. Thus, is the correct condition

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