JEE Main2016PhysicsLaws of MotionActual
A particle of mass m is acted upon by a force F given by the empirical law F = R t 2 v t . If this law is to be tested experimentally by observing the motion starting from rest, the best way is to plot
Options
- Alog v t against 1 t
- Bv t   against   t 2
- Clog ⁡ v t   against 1 t 2
- Dlog ⁡ v t   against   t
Correct answer
A. log v t against 1 t
Step-by-step solution
F = R t 2 v t ⇒ m d v d t = R t 2 v t ∫ d v v = ∫ R d t m t 2 ln v = - R m t ∴     ln   v ∝ 1 t