Answer:
(i)
Reynold number \[{{N}_{R}}=\frac{\rho D\times \upsilon }{\eta }=\frac{\left[
M{{L}^{-3}} \right]\left[ L \right]\left[ L{{T}^{-1}} \right]}{\left[
M{{L}^{-1}}{{T}^{-1}} \right]}=\left[ {{M}^{0}}{{L}^{0}}{{T}^{0}} \right]\]
(ii) Rigidity modulus \[=\frac{stress}{shearing\,strain}=\frac{F/a}{\Delta
L/L}=\frac{ML{{T}^{-2}}/{{L}^{2}}}{1}=\left[ {{M}^{1}}{{L}^{-1}}{{T}^{-2}}
\right]\]
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