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In non-uniform circular motion, the ratio of tangential to radial acceleration is ( $r$ is radius of circle, $v$ is speed of the particle, $\alpha$ is angular acceleration)
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The correct answer is:
$\frac{\alpha r^2}{v^2}$
Ratio of tangential to radial acceleration is given by,
$\frac{a_t}{a_r}=\frac{r \alpha}{v^2 / r}=\frac{r^2 \alpha}{v^2}$
$\frac{a_t}{a_r}=\frac{r \alpha}{v^2 / r}=\frac{r^2 \alpha}{v^2}$
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