A particle of mass m is given an initial speed `V_(0)`. It experiences a retarding force that is proportional to the speed of the particle (F = aV). a is a constant.
(a) Write the dimensional formula of constant a.
(b) Using dimensional analysis, derive a formula for stopping time (t) of the particle. Does your formula tell you how 't' depends on initial speed `V_(0)` ? What can you predict about the constant obtained in the formula ?

Answer

(a) `[a]=[M^(1)T^(-1)]`
(b) `t=k(m)/(a) ;t=oo`