Question

The frequency $\mathrm{y}$ of a light wave is a function of its wavelength $\mathrm{x}$. is the function relating the wavelength of light to its frequency linear or nonlinear?

Answer 1

We know, if rate of change of function is constant then function is linear.

From above table we can see,

As $\mathrm{x}$ decreases by $65$, $\mathrm{y}$ increases by randomly. The rate of change is not constant. So function is nonlinear

Hence, the function relating the wavelength of light to its frequency is nonlinear function.