Turpentine oil is flowing through a tube of length $l$ and radius $r$. The pressure difference between the two ends of the tube is $P$. The viscosity of oil is given by $\eta = \frac{P(r^2 - x^2)}{4vl}$,where $v$ is the velocity of oil at a distance $x$ from the axis of the tube. The dimensions of $\eta$ are

  • A
    $[MLT^{-1}]$
  • B
    $[M^0L^0T^0]$
  • C
    $[ML^{-1}T^{-1}]$
  • D
    $[ML^2T^{-2}]$

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The dimensional formula $M L^{-1} T^{-2}$ does not represent which of the following physical quantities?

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List $I$List $II$
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$B$. Angular speed$II$. $(MT^{-2})$
$C$. Angular momentum$III$. $(ML^2)$
$D$. Moment of inertia$IV$. $(ML^2T^{-1})$

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