Eight solid uniform cubes of edge `l` are stacked together to form a single cube with centre `O`. One cube is removed from this system. Distance, of the centre of mass of remaining `7` cubes from `O` is.
.

Options

A. `(7sqrt(3 )l)/(16)`
B. `(sqrt(3 )l)/(16)`
C. `(sqrt(3 )l)/(14)`
D. zero

Answer

C

Explanation

( c) `m_1 x_1 = m_2 x_2`
`rArr m(sqrt(3))/(2) l = 7 m x_2 rArr x_2 = (sqrt(3) l)/(14)`.