Two point masses m and 2m are initially kept at distance 3x0. Now they are released and move only under their mutual gravitational interaction force. They collide after time t0. Average speed of particle of mass 2m during this time is √αGmβπ2X0. Find minimum value of β−α, where β and α are whole number. (Answer upto two digit after decimal places)

Two point masses m and 2m are initially kept at distance 3x0. Now they

1.	Two point masses m and 2m are initially kept at distance 3x0. Now they are released and move only under their mutual gravitational interaction force. They collide after time t0. Average speed of particle of mass 2m during this time is √αGmβπ2X0. Find minimum value of β−α, where β and α are whole number. (Answer upto two digit after decimal places)
Answer» Two point masses m and 2m are initially kept at distance $3 x_{0}$ . Now they are released and move only under their mutual gravitational interaction force. They collide after time $t_{0}$ . Average speed of particle of mass 2m during this time is $\sqrt{\frac{α G m}{β π^{2} X_{0}}}$ . Find minimum value of $β - α$ , where $β$ and $α$ are whole number. (Answer upto two digit after decimal places)

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