The ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of

Choose the physical quantity pair with the same dimensions.

Which of the following statements is correct?

$A$ wheel completes $2000$ revolutions to cover a distance of $9.5\, km$. The diameter of the wheel is:

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge,whose pitch is $0.5 \ mm$ and there are $50$ divisions on the circular scale. The reading on the main scale is $2.5 \ mm$ and that on the circular scale is $20$ divisions. If the measured mass of the ball has a relative error of $2 \%$,the relative percentage error in the density is (in $\%$)

Match the physical quantities in Column-$I$ with those in Column-$II$ having the same dimensions. The correct matching is:

$A$. Entropy	$I$. Angular velocity
$B$. Young's modulus of elasticity	$II$. Boltzmann constant
$C$. Angular momentum	$III$. Energy density
$D$. Decay constant	$IV$. Planck's constant