Using the relation for the speed of electromagnetic waves in a particular dielectric oil, $v=\frac{1}{\sqrt{\mu \epsilon }}$, calculate the theoretical speed of the waves in this medium to four significant figures.

Use the values:

• Permeability of the oil, $\mu =1.257\times 10^{-6}{H\; m}^{-1}$
• Permittivity of the oil, $\epsilon =1.989\times 10^{-11}{F\; m}^{-1}$

In an experiment to study stationary waves in this medium, a transmitter is immersed in a tank of this oil. The transmitter operates at a frequency of $400MHz$ and is directed towards a flat metal plate acting as a reflector, positioned $1.5m$ away. Deduce whether this experimental arrangement is suitable for determining the speed of the waves in the oil by detecting the positions of nodes and antinodes. Support your answer with a calculation of the distance between adjacent nodes.