1.

An equation of a gas is given as `(P+(a)/(V^(2))=(bT)/(V)`, where P = pressure, V = volume and T= absolute temperature of the gas and a and b are constants. What is the dimensional formula for a?A. `[M^(-1)L^(5)T^(2)]`B. `[M L^(5)T^(-2)]`C. `[M L^(-5)T^(-1)]`D. `[M L^(5) T]`

Answer» Correct Answer - b
From the principle of homogeneity of dimensions, all terms in a physical equation must have the same dimensions.
`therefore` Dimensions of P = Dimensions of `((a)/(V^(2)))`
`therefore [a]=[PV^(2)]`
`=[(F)/(A)xxV^(2)]=[(M^(1)L^(1)T^(-2))/(L^(2))xx(L^(3))^(2)]`
`therefore [a]=[M^(1)L^(5)T^(-2)]`


Discussion

No Comment Found

Related InterviewSolutions