Question 238: Dual Nature of Matter and Radiation

Question

According to Einstein's photoelectric equation, the plot of the kinetic energy of the emitted photo electrons from a metal $$Vs$$ the frequency, of the incident radiation gives as straight the whose slope

Accepted Answer

Einstein's photoelectric equation is given by
$$K_{\max} = h
u - \phi,$$
where $K_{\max}$ is the maximum kinetic energy of the emitted photoelectrons, $h$ is Planck's constant, $
u$ is the frequency of the incident radiation, and $\phi$ is the work function of the metal (the minimum energy needed to eject an electron).
If you plot $K_{\max}$ against $
u$, you will get a straight line with slope $h$ (Planck's constant) and y-intercept $-\phi$ (the negative of the work function). The slope of the line (which is $h$) does not depend on the intensity of the radiation or the type of metal used. Instead, it is a universal constant.
Therefore, the correct answer is:
Option D: The slope is the same for all metals and independent of the intensity of the radiation.

Answer

depends both on the intensity of the radiation and the metal used

Answer

depends on the intensity of the radiation

Answer

depends on the nature of the metal used

Answer

is the same for the all metals and independent of the intensity of the radiation

Dual Nature of Matter and Radiation

According to Einstein's photoelectric equation, the plot of the kinetic energy of the emitted photo electrons from a metal $Vs$ the frequency, of the incident radiation gives as straight the whose slope

Choose the correct answer: