Using dimensional methods, verify the correctness of the following relations,
(i) `a= v^2//r , (ii) F= mr omega^2 , (iii) S.T. `= rhdg/2
In the above formulae 'r' stands for a dius, 'm' for mass , `'omega'` for angular velocity , 'v' for linear velocity , 'h' for height , 'd' for density and S.T. for surface tension.

Check the correctness of the formula f = (mv^2)/(r^2) where f is force , m is mass , v is velocity and r is radius.

Check the correctness of the formula f=(mv^(2))/(r^(2)) where f is force, m is mass, v is velocity and r is radius .

A thin rod of mass 'm' and length 2L is made to rotate about a normal axis through centre of rod. If its angular velocity changes from 'O' to 'omega' in time 't'. The torque acting on it is

A body is thrown horizontally with a velocity of v m/s from the top of a tower of height 2h reaches the ground in 't' seconds. If another body double the mass is thrown horizontally with a velocity 5v m/s from the top of another tower of height 8h it reaches the ground in a time of

Three particles describes circular path of radii r_(1), r_(2) and r_(3) with constant speed such that all the particles take same time to complete the revolution. If omega_(1), omega_(2), omega_(3) be the angular velocity v_(1), v_(2), v_(3) be linear velocities and a_(1), a_(2), a_(3) , be linear acceleration then which of the follwing is not correct?