1.

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` areA. `["MLT"^(-2)]`B. `["MT"^(-2)]`C. `["ML"^(2)"T"^(-3)]`D. `["LT"^(-1)]`

Answer» Correct Answer - B
We knows,
Dimensions of moment of inertia = `["ML"^(2)]`
Dimensions of moment of force `F=["MLT"^(-2)]`
Dimensions of moment of velocity `(v)=["LT"^(-2)]`
Dimensions of moment of work `(W)=["ML"^(2)"T"^(-2)]`
Dimensions of moment of length `(l)=["L"]`
Here, Dimensions of `[X]=("Dimensions of "[IFv^(2)])/("Dimensions of "[WL^(3)])`
`" "=(["ML"^(2)]["MLT"^(-2)]["LT"^(-2)]^(2))/(["ML"^(2)"T"^(-2)]["L"^(3)])`
`(["M"^(2)"L"^(5)"T"^(-4)])/(["ML"^(-5)"T"^(-2)])=["MT"^(-2)]`


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