Find the rate of change of the volume of a sphere with respect to its surface area when the radius is $2 \ cm$.

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

List-$I$	List-$II$
$(a)$ Capacitance,$C$	$(i)$ $M^{1} L^{1} T^{-3} A^{-1}$
$(b)$ Permittivity of free space,$\varepsilon_{0}$	$(ii)$ $M^{-1} L^{-3} T^{4} A^{2}$
$(c)$ Permeability of free space,$\mu_{0}$	$(iii)$ $M^{-1} L^{-2} T^{4} A^{2}$
$(d)$ Electric field,$E$	$(iv)$ $M^{1} L^{1} T^{-2} A^{-2}$

Choose the correct answer from the options given below:

Fill in the blanks:
$(a)$ To measure the direct distance of a mountain,....... is used.
$(b)$ For the measurement of time,the ........... clock is the most accurate.
$(c)$ Rounding off $15.753$ to three significant figures gives ....... .

$A$ cube has numerically equal volume and surface area. The volume of such a cube is ........... $units$.

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:

Which of the following pairs does not have the same dimensions?