Question

Define threshold wavelength and frequency.

Hint:

The threshold wavelength is the maximum wavelength that can cause the emission of photoelectrons, and it is inversely related to the threshold frequency.

Answer 1

Threshold wavelength is the minimum wavelength of light that can cause the emission of electrons from a metal surface. It is related to the threshold frequency by the equation: \[ \lambda_{\text{threshold}} = \frac{c}{f_{\text{threshold}}} \] where \( \lambda_{\text{threshold}} \) is the threshold wavelength, \( c \) is the speed of light, and \( f_{\text{threshold}} \) is the threshold frequency.
Threshold frequency is the minimum frequency of light required to release electrons from the metal surface in the photoelectric effect. It is given by the equation: \[ f_{\text{threshold}} = \frac{E_{\text{threshold}}}{h} \] where \( E_{\text{threshold}} \) is the threshold energy (the energy required to free an electron) and \( h \) is Planck's constant.