1.

From the following physical quantities, which is the only quantity which has negative dimensions of mass?A. Linear momentumB. Gravitationsl constantC. ForceD. Work

Answer» Correct Answer - b
`[p]=[mv]=[L^(1)M^(1)T^(-1)],[F]=[L^(1)M^(1)T^(-2)]`
(c ) Gravitational constant [G]
`because F=G(m_(1)m_(2))/(r^(2))`
`therefore [G]=[(Fr^(2))/(m_(1)m_(2))]=[(L^(1)M^(1)T^(-2)xxL^(2))/(M^(2))]`
`therefore [G]=[L^(3)M^(-1)T^(-2)]`
Thus G has the -ve dimension of mass.
(d) `[W]=[L^(2)M^(1)T^(-2)]`


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