Which of the following has the same units as the farad?
Ωs⁻¹.
Ω⁻¹s.
Ωs.
Ω s⁻².
In the real gas equation (P + a/V2 )(V - b) = RT What is the dimension of the constant a?
ML⁻⁵ T⁻².
ML⁻² T⁻².
ML5 T⁻².
ML⁻¹ T⁻².
The position, x, of an object is given by the equation x = A + Bt +Ct², where t refers to time. What are the dimensions of A, B, and C?
L, LT⁻¹, LT⁻².
L, T, T².
LT⁻¹, LT⁻², LT⁻³.
L, L, L.
The equation relating the pressure and volume of a gas with its thermodynamic temperature T is given by pV = KT, where k is a constant. What are the base units of K?
kg m s⁻² K⁻¹.
kg m² s⁻² K⁻¹.
No units, because k is a constant.
kg m⁻² s⁻² K⁻¹.
The SI unit of mutual inductance is the henry (H). Which of the following units is equivalent to the henry?
kgm²A⁻²s⁻¹.
kgm²s⁻⁴.
kgm²A⁻¹s⁻².
