`ABC` is a triangular plate of uniform `A` thickness. The sides are in the ratio shown in the figure. ` I_(AB), I_(BC), I_(CA)` are the moments of inertia of the plated about `AB, BC` and `CA` respectively. Which one of the following relation 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)`