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Identify the physical quantity x defined...

Identify the physical quantity x defined as `x = (I F upsilon^2)/(W I^3),` where I is moment of inertia, F is force, `upsilon` is veloicty, W is work and I is length.

Text Solution

Verified by Experts

As is known,
`I = ML^2 , F= MLT^(-2), upsilon = LT^(-1)`
`W = ML^2 T^(-2),l = L`
`:. X =(Ifupsilon^3)/(WI^3) = ((ML^(2))(MLT^(-2))(LT^(-1))^(2))/((M^(1)L^(0)T^(-2))L^(3))`
`= [M^1 L^0 T^(-2)]`
These are the dimensions of surface tension or force constant or energy per unit area.
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