If $e$ is the charge,$V$ is the potential difference,and $T$ is the temperature,then the units of $\frac{eV}{T}$ are the same as that of:

  • A
    Planck's constant
  • B
    Stefan's constant
  • C
    Boltzmann constant
  • D
    Gravitational constant

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The unit of "impulse per unit area" is the same as that of

The maximum percentage errors in the measurement of mass $(M)$,radius $(R)$,and angular velocity $(\omega)$ of a ring are $2 \%$,$1 \%$,and $1 \%$ respectively. Find the maximum percentage error in the measurement of its rotational kinetic energy $(K = \frac{1}{2} I \omega^{2})$. (in $\%$)

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:

Match List-$I$ with List-$II$:
List-$I$List-$II$
$A$. Coefficient of Viscosity$I$. $[M L^2 T^{-2}]$
$B$. Surface Tension$II$. $[M L^2 T^{-1}]$
$C$. Angular momentum$III$. $[M L^{-1} T^{-1}]$
$D$. Rotational Kinetic energy$IV$. $[M L^0 T^{-2}]$

Which of the following groups has different dimensions?

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