Figure shows graphs between the applied force and the acceleration. Out of these which one is the graph for motion of a body on smooth and rough surfaces?

For smooth surface,
Force= $\text{Mass×Acceleration}$
$F=Ma$ 
This is comparable to equation of straight line passing through the origin for rough surface friction is taken into consideration
i.e.., $y=mx$
$F=Ma+\mu Mg$ ,where $\mu$ is a coefficient of friction
This equation is comparable to equation of straight line, not passing through the origin
$\text{i.e.,\hspace{0.17em}}y=mx+c$ 
Hence option (C) is true.