Consider two identical rings of mass M and radius R fixed on a horizontal axis in a gravity - free space. A particle of mass m is held at rest at the centre of `1^("st")` ring and projected along the axis towards `2^("nd")` ring. The minimum speed of projection so that the particle reaches the centre of `2^("nd")` ring is

Options

A. `sqrt((GM)/(R ))`
B. `sqrt((2GM)/(R ))`
C. `sqrt((2GM)/(R )(1+(1)/(sqrt5)-sqrt2))`
D. `sqrt((GM)/(R )(1+sqrt5-(1)/(sqrt2))`

Answer

C