Statement-1: Two particles of mass 1 kg and 3 kg move towards each other under their mutual force of attraction. No other force acts on them. When the relative velocity of approach of the two particles is `2 m//s`, their centre of mass has a velocity of `0.5 m//s`. When the relative velocity of approach becomes `3 m//s` the velocity of the centre of mass is `0.75 m//s`.
Statement-2: The total kinetic energy as seen from ground is `1/2muv_(rel)^(2)+1/2mv_(c)^(2)` and in absence of external force, total energy remains conserved.

Options

A. `0.75 ms ^(-1)`
B. `0.5 ms ^(-1)`
C. `10 ms ^(-1)`
D. `1.25 ms ^(-1)`

Answer

B