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Eight solid uniform cubes of edge l are ...

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.
.

A

`(7sqrt(3)l)/(16)`

B

`(sqrt(3))/(16)l`

C

`(sqrt(3))/(14)l`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
C
`7m(xhat(i)+yhat(j)+zhat(k))=M((l)/(2)hat(i)+(l)/(2)hat(j)+(l)/(2)hat(j))`
Shifting `=sqrt(x^(2)+y^(2)+z^(2))=sqrt(3),(l)/(sqrt(14))`
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