ABC is a right angled triangular plate of uniform thickness. The sides are such that AB gt BC as shown in figure. I_(1),I_(2) and I_(3) are moments of inertia about AB,BC andAC respectively. Then, which of the following relation is correct ?

ABC is a right angled triangular plate of uniform thickness. The sides

1.	ABC is a right angled triangular plate of uniform thickness. The sides are such that AB gt BC as shown in figure. I_(1),I_(2) and I_(3) are moments of inertia about AB,BC andAC respectively. Then, which of the following relation is correct ?
Answer» `I_(1)=I_(2)=I_(3)` `I_(2) gt I_(1) gt I_(3)` `I_(3) LT I_(2) lt I_(1)` `I_(2) gt I_(1) gt I_(2)` Solution :For a given body, mass is same, so it will DEPEND only on the distribution of mass about the axis The mass is farthest from axis BC, so `I_(2)` is maximum. Mass is nearest to axis AC, so `I_(3)` is minimum. Hence, the CORRECT sequence will be `I_(2) gt I_(1) gt I_(3)`