Which of the following physical quantities do not have the same dimensions?

  • A
    Pressure and stress
  • B
    Tension and surface tension
  • C
    Strain and angle
  • D
    Energy and work

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Which two of the following five physical parameters have the same dimensions $?$
$(1)$ energy density
$(2)$ refractive index
$(3)$ dielectric constant
$(4)$ Young's modulus
$(5)$ magnetic field

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:

$A$ new unit $(\alpha)$ of length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and Earth in terms of $\alpha$ units if light takes $6 \text{ min } 40 \text{ s}$ to cover this distance (in $\text{ } \alpha$)?

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