question_answer

A uniform thin rod AB of length L has linear mass density\[\mu (x)=a+\frac{bx}{L}\], where x is measured from A. If the CM of the rod lies at a distance of \[\left( \frac{7}{12} \right)\]L from A, then a and b are related as :

A) \[a=2b\]

B) \[2a=b\]

C) \[a=b\]

D) \[3a=2b\]