The force F between two charges Q1 and Q2 in free space is given by the formula below, where r is the distance between the charges. The units of E0 are
m² A² s⁻²kg⁻¹.
m³ s² kg⁻¹ C.
s⁴ A² kg⁻¹ m –3.
m³ s² A² kg⁻¹.
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.
Four physical quantities P, Q, R and S are related by the equation PQ²= 8Q + RS. Which statement must be correct for the equation to be homogeneous?
The product PQ² has the same units as Q, and the product RS.
The product PQ² is numerically equal to (8Q+RS).
P, Q, R and S are all scalar quantities.
P, Q, R and S all have the same units.
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.
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?
A.
C.
B.
D.
