$A$ metallic ring of radius $r$ and cross-sectional area $A$ is fitted into a wooden circular disc of radius $R$ $(R > r)$. If the Young's modulus of the material of the ring is $Y$, the force with which the metal ring expands is
- A$\frac{A Y R}{r}$
- B$\frac{A Y(R-r)}{r}$
- C$\frac{Y(R-r)}{A r}$
- D$\frac{Y R}{A R}$
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