Four rods of equal length `l` and mass m each forms a square as shown in figure
Moment of inertia about three axes 1,2 and 3 are say `I_(1),I_(2) and I_(3)`. Then, match the following columns

`{:(,"Column-I",,"Column-II"),("(A)",I_(1),"(p)",(4)/(3)ml^(2)),("(B)",I_(2),"(q)",(2)/(3)ml^(2)),("(C)",I_(3),"(r)",(1)/(2)ml^(2)),(,,"(s)","None"):}`

Options

A. A-Q,B-S,C-Q
B. A-S,B-Q,C-Q
C. A-Q,B-Q,C-S
D. A-R,B-Q,C-S

Answer

A

Explanation

`I_(1)=2((ml^(2))/12)+2(m)(I/2)^(2)=2/3ml^(2)`
`I_(2)=0+2((ml^(2))/3)+ml^(2)=(5/3)ml^(2)`
`I_(3)=4[(ml^(2))/3"sin"^(2)45^(@)]=2/3ml^(2)=I_(1)`
Note: `I_(1)=I_(3)`(think why?)