==>$R \propto (\theta - {\theta _0})$
==>$R = \;k(\theta - {\theta _0}) = k\theta - k{\theta _0}$(k= constant)
on comparing it with $y = mx + c$ it is observed that, the graph between $R$ and $\theta$ will be straight line with slope $=k$ and intercept
$(i)$ The maximum intensity of the emitted radiation will occur at frequency $v /3$
$(ii)$ The maximum intensity of the emitted radiation will occur at frequency $3v $
$(iii)$ The total energy of emitted radiation will become $81\,E$
$(iv)$ The total energy of emitted radiation will become $27\,E$

