The SI unit of mutual inductance is the henry (H). Which of the following units is equivalent to the henry?
kgm²s⁻⁴.
kgm²A⁻²s⁻¹.
Ωs.
kgm²A⁻¹s⁻².
At temperatures close to 0 K, the specific heat capacity of a particular solid is given by c = b T³, where T is the thermodynamic temperature and b is a constant characteristic of the solid. What are the SI base units of b?
m² s⁻² K⁻³.
kg m² s⁻² K⁻⁴.
kg m² s⁻² K⁻³.
m²s⁻² K⁻⁴.
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?
No units, because k is a constant.
kg m² s⁻² K⁻¹.
kg m⁻² s⁻² K⁻¹.
kg m s⁻² K⁻¹.
A cylindrical tube rolling down a slope of inclination θ moves a distance L in time T. The equation relating these quantities is as in the figure. Where a is the internal radius of the tube and P and Q are constants. Which line gives the correct units for P and Q?
B.
A.
C.
D.
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, T, T².
L, L, L.
LT⁻¹, LT⁻², LT⁻³.
L, LT⁻¹, LT⁻².
