A mass \( m \) hangs with the help of a string wrapped around a pulley on a frictionless bearing...

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A mass \( m \) hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass \( m \) and radius \( R \). Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass \( m \), if the string does not slip on the pulley, is [AIEEE 2011; Similar JEE (Mains) 2014]
(a) \( \frac{3}{2} g \)
(b) \( g \)
(c) \( \frac{2}{3} g \)
(d) \( \frac{g}{3} \)
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