A moving particle which has kinetic energy K and wavelength λ, then which of the following graph is correct representation:

As the wavelength is,

$\mathrm{\lambda }=\frac{\mathrm{h}}{\mathrm{mv}}=\frac{\mathrm{h}}{\mathrm{p}}\dots \left(1\right)$

And kinetic energy of the particle is,

$\mathrm{K}=\frac{1}{2}{\mathrm{mv}}^2=\frac{{\mathrm{p}}^2}{2\mathrm{m}}$

$\Rightarrow p=\sqrt{2mK}\dots \left(2\right)$

So, from Eqs. (1) and (2), we get

$\lambda =\frac{h}{\sqrt{2mK}}$

$\Rightarrow \lambda$  is directly proportional to $\frac{1}{\sqrt{K}}$

So, the graph between $\lambda \text{ vs }\sqrt{K}$ will be a rectangular hyperbola and $\lambda \text{ vs }\frac{1}{\sqrt{K}}$ will be a straight line.