In the given figure inclined surface and pulleys are smooth. Strings and pulleys are massless. Acceleration of mass m is :

Options

A. `(7g)/(9)`
B. `(7g)/(11)`
C. `(7g)/(18)`
D. `(7g)/(20)`

Answer

C

Explanation

`2mg - T = 2m xx 2a` ….(i)
`2T -mg sin 30^(@) = m xx a` ….(ii)
from equation (i) and (ii)
`a = (7g)/(18)`