Two stones of masses $m$ and $2 m$ are whirled in horizontal circles, the heavier one in a radius $\frac{r}{2}$ and lighter one in radius $r$. The tangential speed of lighter stone is $n$ times that of the value of heavier stone when they experience same centripetal forces. The value of $n$ is :

Question

( A ) 2
( B ) 4
( C ) 1
( D ) 3