A machinist starts with three identical square plates but cuts one corner from one of them, two corners from the second and three corners from the third. Rank the three according to the `x`-coordinate of their centre of mass, from smallest to largest.

Options

A. `3,1,2`
B. `1,3,2`
C. `3,2,1`
D. `1` and `3`tie, then `2`

Answer

B

Explanation

`{:(I," ",II," ",III),(vec(x_(1))=(mx)/(4M-m)," ",vec(x_(2))=(2mx)/(4M-2m)," ",vec(x_(3))=(mx)/(4M-3m)):}`
If mass of removed part be m & if x-coordinate is x and 4M is mass of plate.
So, `x_(1)ltx_(2)ltx_(3)`