Step 1: Relationship between kinetic energy and frequency
The photoelectric equation is:
\[
K.E = h u - \phi
\]
In this equation, \( h \) represents Planck's constant, \( u \) is the frequency of the incident light, and \( \phi \) is the work function of the material.
Step 2: Relationship between frequency and wavelength
Frequency \( u \) and wavelength \( \lambda \) are related by:
\[
u = \frac{c}{\lambda}
\]
Here, \( c \) denotes the speed of light.
Step 3: Substitution into the equation
Substituting \( u = \frac{c}{\lambda} \) into the photoelectric equation yields:
\[
K.E = \frac{hc}{\lambda} - \phi
\]
Consequently, the maximum kinetic energy of the photoelectrons is inversely proportional to the wavelength \( \lambda \).