If the dimensions of a physical quantity are given by $M^aL^bT^c$,then the physical quantity will be:

  • A
    velocity if $a=1, b=0, c=-1$
  • B
    acceleration if $a=1, b=1, c=-2$
  • C
    force if $a=0, b=-1, c=-2$
  • D
    pressure if $a=1, b=-1, c=-2$

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The dimension of $P = \frac{B^2 l^2}{m}$ is,where $B = \text{magnetic field}$,$l = \text{length}$,$m = \text{mass}$.

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

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

Choose the correct answer from the options given below:

Give the dimensional formula of the coefficient of viscosity.

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