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 $\eta=\frac{P\left(r^{2}-x^{2}\right)}{4 v l}$ where $v$ is the velocity of oil at a distance $x$ from the axis of the tube. The dimensions of $\eta$ are
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 $\eta=\frac{P\left(r^{2}-x^{2}\right)}{4 v l}$ where $v$ is the velocity of oil at a distance $x$ from the axis of the tube. The dimensions of $\eta$ are
- [AIPMT 1993]
- A
$\left[ {M{L}{T^{ - 1}}} \right]$
- B
$\left[ M^0L^0T^0 \right]$
- C
$\left[ {M{L^{ - 1}}{T^{ - 1}}} \right]$
- D
$\left[ {M{L^{ 2}}{T^{ - 2}}} \right]$
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$M{L^{ - 1}}{T^{ - 2}}$ represents
$M{L^{ - 1}}{T^{ - 2}}$ represents
The quantum hall resistance $R_H$ is a fundamental constant with dimensions of resistance. If $h$ is Planck's constant and $e$ is the electron charge, then the dimension of $R_H$ is the same as
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- [KVPY 2011]
If $A$ and $B$ are two physical quantities having different dimensions then which of the following can't denote a physical quantity?
If $A$ and $B$ are two physical quantities having different dimensions then which of the following can't denote a physical quantity?