The difference in the lengths of a mean solar day and a sidereal day is about........$min$.

Fill in the blanks:
$(a)$ $1 \ \text{Joule} = \dots \ \text{erg}$
$(b)$ $1 \ \text{eV} = \dots \ \text{Joule}$
$(c)$ $1 \ \text{kWh} = \dots \ \text{Joule}$

$A$ 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 $\text{ } \alpha$)?

Match the physical quantities given in List-$I$ with dimensions expressed in terms of mass $(M)$, length $(L)$, time $(T)$ and electric current $(A)$ given in List-$II$.

List-$I$	List-$II$
$(a)$ Torque	$(i)$ $[M^{-1}L^{-2}T^4A^2]$
$(b)$ Gravitational constant	(ii) $[M^1L^2T^{-1}]$
$(c)$ Capacitance	(iii) $[M^{-1}L^3T^{-2}]$
$(d)$ Planck’s constant	(iv) $[M^1L^2T^{-2}]$

Match List-$I$ with List-$II$.

List-$I$	List-$II$
$(A)$ Coefficient of viscosity	$(I)$ $[ML^0T^{-3}]$
$(B)$ Intensity of wave	$(II)$ $[ML^{-2}T^{-2}]$
$(C)$ Pressure gradient	$(III)$ $[M^{-1}LT^2]$
$(D)$ Compressibility	$(IV)$ $[ML^{-1}T^{-1}]$

Choose the correct answer from the options given below:

Match the physical quantities given in List-$I$ with their dimensions in List-$II$.

List-$I$	List-$II$
$A$. Gravitational potential	$I$. $M^0 L^2 T^{-2} K^{-1}$
$B$. Stefan's constant	$II$. $M^0 L^2 T^{-2}$
$C$. Permittivity	$III$. $M L^0 T^{-3} K^{-4}$
$D$. Specific heat capacity	$IV$. $M^{-1} L^{-3} T^4 I^2$

$(The dimensions of mass, length, time, temperature and current are $M$, $L$, $T$, $K$ and $I$ respectively.)$