An initially stationary box on a frictionless floor explodes into two pieces, piece `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

Which graphs pertain to physically possible explosion?

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