1.

In photoelectric emission process from a metal of work function 1.8 eV, the kinetic energy of most energeticelectric electrons is 0.5 eV. The corresponding stopping potential is1. 2.3 V2. 1.8 V3. 1.3 V4. 0.5 V

Answer» Correct Answer - Option 4 : 0.5 V

CONCEPT:

Photoelectric Effect:

  • ​When the light of asufficiently small wavelength is incidenton the metal surface,electrons are ejected from the metal instantly. This phenomenon is called thephotoelectric effect.​
  • Einstein’s equation of photoelectric equation:

⇒KEmax= hν-ϕo

Where h = Planck's constant,ν = frequency of incident radiation, ϕo= work function, and KE =maximum kinetic energy of electrons.

  • The relationship between kinetic energy and stopping potential is

⇒KE = qV0

Where KE = Kinetic energy, q = charge, V0= Stopping potential

CALCULATION:

Given -KEmax= 0.5 eV , e = 1.6 × 10-19C

  • Stopping potential only depends on the maximum KE of an electron ejected
  • The stopping potential is given by

⇒KEmax= eV0

Substituting the given values in the above equation

⇒0.5eV = 1.6 × 10-19× V0

\(\Rightarrow V_{0} = \dfrac{0.5\times 1.6\times 10^{-19}}{1.6\times 10^{-19}} = 0.5V\)

  • Hence, option 4 is the answer


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