Q. According to Einstein’s photoelectric equation, the plot of the kinetic energy of the emitted photoelectrons from a metal $V_{s}$ the frequency, of the incident radiation gives a straight line whose slope
A) Depends on the nature of the metal used
B) Depends on the intensity of the radiation
C) Depends both on the intensity of the radiation and the metal used
D) Is the same for all metals and independent of the intensity of the radiation
Explanation
(d) Einstein’s photoelectric equation is
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {KE}_{\max} = hv - \phi$ …(i)
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The equation of line is
$y = mx + c$ …(ii)
Comparing above two equations
$m = h,\ c = - \phi$
Hence, slope of graph is equal to Planck’s constant (non-variable) and does not depend on intensity of radiation.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.