Two bodies of masses 5 kg and 4 kg are arranged in two positions as shown in fig
(a) and
(b) if the pulleys and the table are perfectly smooth, the accelerations of the 5 kg body in case (a) and (b) are:

Options

A. `g and (5//9)g`
B. `(4//9)g and (1//9)g`
C. `g//5 and g//5`
D. `(5//9)g and (1//9)g`

Answer

B

Explanation

Case (a): `a_(1)=(4g)/((4+5))=4/9g`
Case (b): `a_(2)=(5g-4g)/(5+4)=1/9g`