$A$ thin glass prism has a refractive index of $1.5$. The correct relation between the angle of minimum deviation $(\delta_m)$ and the angle of the prism $(A)$ is given by the formula for a thin prism. If the angle of refraction is $r$, find the correct relation between the angle of minimum deviation $(\delta_m)$ and the angle of refraction $(r)$ for a thin prism.
- A$\delta_m = \frac{r}{2}$
- B$\delta_m = 2r$
- C$\delta_m = r$
- D$\delta_m = \frac{3r}{2}$
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