A steel ring of radius r and cross sectional area 'A' is fitted on to a wooden disc of radius R (R > r). If the Young's modulus be Y, then what is the force with which steel ring is expanded? 

1
\(\frac{A Y R}{r}\)
2
\(\frac{A R}{Y_{r}}\)
3
\(\frac{A}{Y}\left(\frac{r}{R-r}\right)\)
4
\(A Y\left(\frac{R-r}{R}\right)\)

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