question_answer

According to Einstein's photoelectric equation, the plot of the kinetic energy of the emitted photoelectrons from a metal VS the frequency of the incident radiation gives a straight line whose slope:

A) depends on the intensity of the radiation

B) depends of the nature of the metal used

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

Correct Answer: D

Solution :

From Einstein's photoelectric equation\[{{E}_{k}}=hv-W\]where h is Planck's constant, v is frequency and W is work function. Higher the frequency of the incident light. higher will be the maximum kinetic energy of the emitted electrons. If the straight line graph between \[{{E}_{K}}\]and v is the extended backwards, it intersects the frequency axis at a point vq and intersects the energy axis at -B. This means that for the photoelectrons to be emitted from a given metal plate, the frequency of the light incident on the plate should be higher than \[{{v}_{0}}.\]If frequency is less than\[{{v}_{0}},\] no photoelectrons will be emitted whatever be the intensity of duration of light. The slope of this plot is h which is constant for all metals.