car begins sliding only when the centrifugal force balancesthe static frictional force.

\(\displaystyle{\frac{{{m}{v}^{{2}}}}{{{r}}}}=?{m}{g}\)

\(\displaystyle{v}=?{\left(?{r}{g}\right)}\)

\(\displaystyle=?{\left({0.7}\times{200}\times{9.8}\right)}`{31}\frac{{m}}{{s}}\)

so go for (C)

\(\displaystyle{\frac{{{m}{v}^{{2}}}}{{{r}}}}=?{m}{g}\)

\(\displaystyle{v}=?{\left(?{r}{g}\right)}\)

\(\displaystyle=?{\left({0.7}\times{200}\times{9.8}\right)}`{31}\frac{{m}}{{s}}\)

so go for (C)