ABC is right angled triangular plane of uniform thickness The sides are such that AB gt BC as sshown in figure `I_(1),I_(2),I_(3)` are moments of inertia about AB, BC and AC, respectively.Then which of the following relations is correct?

Options

A. `l_(1)=I_(2)=l_(3)`
B. `l_(2)gtl_(1)gtl_(3)`
C. `l_(3)ltl_(2)ltl_(1)`
D. `l_(3)gtl_(1)gtl_(2)`

Answer

b

Explanation

The moment of inertia of a body about an axis depends not onluy on the mass of the body but also on the distribution of mass about the axis . Fo 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)gtI_(1)gtI_(3)`