A square lamina is as shown in figure. The moment of inertia of the frame about the three axes as shown in figure `I_(1),I_(2) and I_(3)` respectively. Select the correct alternative.

Options

A. `I_(2)=I_(2) gt I_(1)`
B. `I_(1) gt I_(2) gt I_(3)`
C. `I_(2) = I_(3) lt I_(1)`
D. `I_(1) lt I_(2) lt I_(3)`

Answer

C

Explanation

For square lamina, `I_(2)=I_(3)`. This value will be less than `I_(1)` because mass is nearer to axis in this case.