Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be

The velocity v of a particle at time t is given by v = at + $${b \over {t + c}}$$, where a, b and c are constants. The dimensions of a, b and c are

The ratio of the dimensions of Planck's constant and that of moment of inertia is the dimensions of

The unit of permittyvity of free space, $${\varepsilon _0}$$, is