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A weightless string passes through a slit over a pulley. The slit offers frictional force f to the string. The string carries two weights having masses \( m_{1} \) and \( m_{2} \) where \( m_{2}m_{1} \), then acceleration of the weights is-
(1) \( \frac{\left(m_{2}-m_{1}\right) g-f}{m_{1}+m_{2}} \)
(2) \( \frac{f-\left(m_{2}-m_{1}\right) g}{m_{1}+m_{2}} \)
(3) \( \frac{\left(m_{1}+m_{2}\right) g-f}{\left(m_{1}-m_{2}\right)} \)
(4) \( \frac{m_{2} g-f}{\left(m_{1}+m_{2}\right)} \)
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