A uniform thin rod is bent in the form of closed loop `ABCDEFA` as shown in the figure. The ratio of moment of inertia of the loop about `x`-axis to that about `y`-axis is

Options

A. Greater than `1`
B. Less than `1`
C. Equal to `1`
D. Equal to `0.5`

Answer

B

Explanation

Moment of inertia of semicircular poritons about X and Y axes same.
`I_(X)=I_(Y)=mR^(2)`
Then MI of straight portion about X-axis is zero
`therefore I_(x)ltI_(y)`
(or) `(I_(x))/(I_(Y))lt1`