1.1. Define the following quantities and state their SI base units

(i) velocity

[2]

(ii) acceleration

[2]

(iii) density

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1.2. The pressure $P$ due to a liquid of density $\rho$ is related to the depth $h$ by the expression

$P= \rho gh$   

where $g$ is the acceleration of free fall.

Use this expression to determine the derived units of pressure $P$.

1.3. The speed $v$ of a sound wave through a gas of pressure $P$ and density $\rho$ is given by the equation

$v=\sqrt{\frac{ \gamma P}{ \rho }}$

where $\gamma$ is a constant.

Show that the constant $\gamma$ has no unit.