A particle of mass m, kinetic energy K and momentum p collides head on elastically with another of mass 2 m at rest. Match the following columns after collision.)
`{:("column1","column2"),("A momentum of first particle","P 3/4 p"),("B Momentum of second particle","Q -K/9"),("C Kinetic energy of first particle","R -p/3"),("D Kinetic energy of second particle","S 8K/9"):}`

Answer

(A) `rarr` r; (B) `rarr` t; (C ) `rarr` t; (D) `rarr` s

Explanation

By applying conservation of momentum

`m_(1)u_(1) + 2m(0) = mv_(1) + 2mv_(2)` …..(i)
Also `u = v_(2) - v_(1)` …….(ii)
`v_(2) = (2v)/(3)` and `v_(1) = -(v)/(3), F_(2) = (4mv)/(3) = (4p)/(3)`,
`P_(1) = -(mv)/(3) = -(P)/(3), K_(2) = (8K)/(9), K_(1) = (K)/(9)`