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The power radiated from a linear antenna of length $$l$$ is proportional to (Given, $$\lambda$$ = Wavelength of wave):
$$P = I_{\text{rms}}^2 R_r$$
$$\text{Radiation resistance of a short linear antenna of physical length } l \text{ is given by: } R_r = 80\pi^2 \left(\frac{l}{\lambda}\right)^2$$
$$P = I_{\text{rms}}^2 \cdot 80\pi^2 \left(\frac{l}{\lambda}\right)^2 \implies P \propto \left(\frac{l}{\lambda}\right)^2$$
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