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A circular disc X of radius R is made fr...

A circular disc `X` of radius `R` is made from an iron plate of thickness `t`, and another plate `Y` of radius `4R` is made from an iron plate of thickness `t//4`. The ratio between moment of inertia `I_(Y)//I_(X)` is

A

`32`

B

`16`

C

`1`

D

`64`

Text Solution

Verified by Experts

The correct Answer is:
D
`I_(X) = (1)/(2) ("mass") ("radius")^(2)`
`= (1)/(2) [(piR^(2))t.rho] R^(2)` ltbr. `I_(Y) = (1)/(2) [(pi 10 R^(2)) (t.rho)/(4)](4R)^(2) = 64 I_(X)`
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