Q$1$: $($a$)$ Define a slip system. $(2$ points$)$

$($b$)$ Do all metals have the same slip system? Why or why not? $(3$ points$)$

$($c$)$ Two previously undeformed cylindrical specimens of an alloy are to be strain hardened by reducing their cross$-$sectional areas $($while maintaining their circular cross sections$).$ For one specimen, the initial and deformed radii are $16$ mm and $11$ mm $,$ respectively. The second specimen, with an initial radius of $12$ mm $,$ must have the same deformed hardness as the first specimen; compute the second specimen's radius after deformation. $(7$ points$)$

$Di=$

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