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A physical quantity X is defined by the ...

A physical quantity `X` is defined by the formula
`X=(IFv^(2))/(WL^(3))`
where `I` is moment of inertia, `F` is force, `v` is velocity, `W` is work and `L` is length, the dimensions of `X` are

A

`MLT^(-2)`

B

`MT^(-2)`

C

`ML^2 T^(-3)`

D

`LT^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`X=(IFv^2)/(WL^3)`
`[X]=([ML^2][MLT^(-2)][L^2T^(-2)])/([ML^2T^(-2)][L^3])=[MT^(-2)]`
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