An initially stationary box on a frectionless floor explodes into two places, places A with mass `m_(A)` and piece B with mass `m_(B)`. Two pieces then move across the floor along x-axis. Graph of position versus time for the two pieces are given.

Baed on the above question, Match column A with the column B.
`{:(,"Column A",,"Column B (Graph number)",),((P),m_(A) = m_(B),,I,),((Q),m_(A) gt m_(B),,II,),((R ),m_(A) lt m_(B),,III,),(,,,IV,),(,,,V,),(,,,VI,):}`

Options

A. `P - VI, Q - III, R - I`
B. `P - II, Q -V, R - IV`
C. `P - II, Q - IV, R - V`
D. `P - VI, Q - II, R - IV`

Answer

B

Explanation

Of `m_(A) = m_(B) rArr vec(v)_(B) = -vec(v)_(A) rArr` Graph II ,
`m_(A) gt m_(B) rArr v_(B) gt v_(B) rArr tan theta_(B) gt tantheta_(A) rArr` Graph IV
If `m_(A) lt m_(B) rArr v_(A) gt v_(B) rArr` Graph IV