Please answer this question with qqwweerrtti

Solution
$$\begin{gathered} Given Quantity =\sqrt{\frac{Modulus of elasticity}{Density}} =\sqrt{\frac{\eta }{D}} \\ \eta =\frac{Stress}{Strain} =\frac{Force/Area}{L\text{'}/l} \\ \left[\eta \right] =\frac{ML{T}^{-2}}{L^2} =\left[M{L}^{-1}{T}^{-2}\right] \\ \left[D\right] =\left[M{L}^{-3}\right] \\ \left[Given Quantity\right] =\left[\sqrt{\frac{\left[M{L}^{-1}{T}^{-2}\right]}{\left[M{L}^{-3}\right]}}\right] \\ \left[Given Quantity\right] =\left[L{T}^{-1}\right] \\ So unit is m/s \\ \frac{1}{\sqrt{\left({\epsilon }_o{\mu }_o\right)}t} =\frac{c}{t} =\frac{m/s}{s} = m/s^2 \end{gathered}$$
So$\frac{1}{\sqrt{\left({\epsilon }_o{\mu }_o\right)}t}$ has same unit as acceleration hence same dimension.

So both assertion and reason is correct but reason is not correct explanation of assertion