The current in a conductor varies with time t as `I=2t+3t^2` where I is in ampere and t in seconds. Electric charge flowing through a section of the conductor during t = 2 sec to t = 3 sec is (in Coulomb):

Answer

`(4g)/(9), (13mg)/(18)`

Explanation

`mg - T = m (a - (g)/(6))` …(i)
`rArr T - (m)/(2)g = (m)/(2)a` …(ii)
For solving eq. (i) & (ii)
`a = (4g)/(9)` & `T = (13)/(18)mg`