If three particles of masses `2kg, 1kg` and `3kg` are placed at corners of an equilateral triangle of perimeter `6m` then the distance of centre of mass which is at origin of particles from `1kg` mass is (approximately) (Assume `2kg` on x-axis)

Options

A. `sqrt(6)m`
B. `sqrt(2)`m
C. `1/(sqrt(2))m`
D. `2m`

Answer

B

Explanation

Coordinates of 1 kg , 2 kg , 3 kg are (0,0) (2,0) `(1 ,sqrt(3))` respectively `X_(cm) = (Sigmam_(i)x_(i))/(Sigmam_(i))`
`Y_(cm) = (Sigmam_iy_(i))/(Sigmam_(i)) , r _(cm) = sqrt(X_(cm)^(2) +Y_(cm)^(2))`