Physics

The dimensions of Undefined control sequence \ cgfrac where symbol have their usual meanings are :


ANSWER

$$[L^{2} T^{2}] $$


SOLUTION
The velocity of the electo magnetic wave in free space 
$$C=\dfrac{1}{\sqrt{\mu _{o}\epsilon _{o}}}$$
$$\therefore \frac{1}{\mu _{o}\epsilon _{o}}=C^{2}$$
$$\therefore \left [ \dfrac{1}{\mu _{o}\epsilon _{o}} \right ]=[C^{2}]$$
$$\therefore \left [ \dfrac{1}{\mu _{o}\epsilon _{o}} \right ]=[C^{2}]=[L^{2}T^{2}]$$
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