c
Linear displacement \((S)\) = Radius \((r)\) \(×\) Angular displacement \((q)\)

 \(\therefore S \propto r\) (if \(\theta  = \) constant)

 \(\frac{{{\rm{Distance\ travelled\ by\ mass }}\ A\,(x)}}{{{\rm{Distance\ travelled\ by\ mass }}\ B\,(y)}}\)

= \(\frac{{{\rm{Radius\ of\ pulley\ concerned\  with\ mass }}\ A\,(r)}}{{{\rm{Radius\ of\ pulley\ concerned\ with\ mass }}\ B\,(2r)}}\) \( = \frac{1}{2}\)   

 \(y = 2x\).