Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Dual Nature of Radiation and Matter

Question:

Photons of energy 5 eV are incident on cathode. Electrons reaching the anode have kinetic energies varying from 6 eV to 8 eV. Then which of the following is true?

Options:

Work function of the metal is 2 eV

Work function of the metal is 3 eV

Current in the circuit is equal to saturation value

Both (1) and (3)

Correct Answer:

Work function of the metal is 2 eV

Explanation:

Maximum kinetic enegy, $K_{max} = (5 − \phi)eV$

When these electrons are accelerated through 5 V, they will reach the anode with maximum energy =
$(5 − \phi + 5)eV$

$∴10 − \phi = 8$ or $\phi = 2eV$

Current is less than saturation current because even if slowest electron reaches the plate it will have 5 eV energy at the anode, but there it is given that the minimum energy is 6 eV.