Match List-$I$ and List-$II$:
List-$I$ List-$II$
$A$. Young's Modulus $(Y)$ $I$. $[M L^{-1} T^{-1}]$
$B$. Co-efficient of Viscosity $(\eta)$ $II$. $[M L^2 T^{-1}]$
$C$. Planck's Constant $(h)$ $III$. $[M L^{-1} T^{-2}]$
$D$. Work Function $(\varphi)$ $IV$. $[M L^2 T^{-2}]$

Choose the correct answer from the options given below:

  • A
    $A-I, B-II, C-III, D-IV$
  • B
    $A-II, B-III, C-IV, D-I$
  • C
    $A-I, B-III, C-IV, D-II$
  • D
    $A-III, B-I, C-II, D-IV$

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Dimensions of the quantity $\frac{p}{\varepsilon_0 \mu_0}$, where $p$ is the pressure, $\varepsilon_0$ is the electric permittivity of free space, and $\mu_0$ is the permeability of free space, will be:

In an electromagnetic system,a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimensions of $[M^P L^Q T^R A^S]$. The values of $P$ and $Q$ are:

Match List-$I$ with List-$II$.
List-$I$ List-$II$
$(A)$ Torque $(I)$ $Nms^{-1}$
$(B)$ Stress $(II)$ $Jkg^{-1}$
$(C)$ Latent Heat $(III)$ $Nm$
$(D)$ Power $(IV)$ $Nm^{-2}$

Choose the correct answer from the options below.

Although the units of torque and work are the same,why are they not the same physical quantities?

The dimensions of pressure are equal to

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