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(C) The dimensions of pressure $P$ are $[ML^{-1}T^{-2}]$.The dimensions of radius $r$ and distance $x$ are $[L]$.The dimensions of velocity $v$ are $[

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$[ML^{-1}T^{-1}]$

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(C) The dimensions of pressure $P$ are $[ML^{-1}T^{-2}]$.The dimensions of radius $r$ and distance $x$ are $[L]$.The dimensions of velocity $v$ are $[LT^{-1}]$.The dimensions of length $l$ are $[L]$.Given the formula $\eta = \frac{P(r^2 - x^2)}{4vl}$,we substitute the dimensions:$\eta = \frac{[ML^{-1}T^{-2}] \cdot [L^2]}{[LT^{-1}] \cdot [L]}$$\eta = \frac{[MLT^{-2}]}{[L^2T^{-1}]}$$\eta = [ML^{-1}T^{-1}]$

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