NEETPhysicsRotational Motion
Four rods of equal length (l ) and mass (m ) each from a square as shown in figure. Moment of inertia about three axes 1,2 and 3 are say (I₁, I₂ ) and (I₃ ). Then, match the following columns ( array |c|l|c|l| & Column I & & Column II (A) & A₁ & (P) & 4 3 m^2 (B) & I₂ & (q) & 2 3 m v^2 (C) & I₃ & (r) & 1 2 m m^2 & & (s) & None of the above array )
Options
- Aa-r b-s c-p
- Ba-s b-r c-p
- Ca-q b-s c-p
- Da-q b-p c-s
Correct answer
C. a-q b-s c-p
Step-by-step solution
( aligned & I₁=2 ( m l^2 2 ) +2(m) ( l 2 )^2= 2 3 m l^2 & I₂=0+2 ( m l^2 3 )+m l^2= ( 5 3 ) m l^2 & I₃=4 [ m l^2 3 ^2 45^ s ]= 2 3 m l^2=I₁ aligned )