A 4 ~kg mass and a 1 ~kg mass are moving with equal energies. The ratio of the magnitude of their linear momenta is

Step-by-step solution

The correct option is (A). Kinetic Energy K and momentum p are related as: K = p ^2 2 ~m Therefore, P= 2 K m The ratio of momentum for 4 ~kg mass and 1 ~kg mass moving with equal kinetic energy K is p _ 4 ~kg p _ 1 ~kg = 2 ~K (4 ~m ) 2 ~K ( ~m ) = 2 1