Question

This question has Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements :
Statement-1 : A metallic surface is irradiated by a monochromatic light of frequency υ > υ₀ (the threshold frequency). The maximum kinetic energy and the stopping potential are K_max and V₀ respectively. If the frequency incident on the surface is doubled, both the K_max and V₀ are also doubled.

Statement-2 : The maximum kinetic energy and the stopping potential of photoelectrons emitted from a surface are linearly dependent on the frequency of incident light.
(a) Statement-1 is true, statement-2 is false.
(b) Statement-1 is true, Statement-2 is true, Statement-2 is the correct explanation of Statement-1.
(c) Statement-1 is true, Statement-2 is true, Statement-2 is not the correct explanation of Statement-1.
(d) Statement-1 is false, Statement-2 is true.

Answer 1

(d) : The maximum kinetic energy of the electron
K_max = hυ – hυ₀
Here, υ₀ is threshold frequency.
The stopping potential is
eV₀ = K_max = hυ – hυ₀
Therefore, if υ is doubled K_max and V₀ is not doubled.