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, L, L.
L, LT⁻¹, LT⁻².
LT⁻¹, LT⁻², LT⁻³.
L, T, T².
Which of the following has units kg m² s⁻²?
Pressure.
Energy.
Momentum.
Power.
The SI unit of mutual inductance is the henry (H). Which of the following units is equivalent to the henry?
kgm²s⁻⁴.
kgm²A⁻¹s⁻².
Ωs.
kgm²A⁻²s⁻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.