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-$II$
$(A)$ Mass density	$(I)$ $[ML^2T^{-3}]$
$(B)$ Impulse	$(II)$ $[MLT^{-1}]$
$(C)$ Power	$(III)$ $[ML^2T^0]$
$(D)$ Moment of inertia	$(IV)$ $[ML^{-3}T^0]$

Choose the correct answer from the options given below:

In the context of accuracy of measurement and significant figures in expressing results of experiment,which of the following is/are correct?
$(1)$ Out of the two measurements $50.14 \, cm$ and $0.00025 \, A$,the first one has greater accuracy.
$(2)$ If one travels $478 \, km$ by rail and $397 \, m$ by road,the total distance travelled is $478 \, km$.

Choose the physical quantity pair with the same dimensions.

$A$ steel tape gives correct measurement at $20^{\circ}C$. $A$ piece of wood is being measured with the steel tape at $0^{\circ}C$. The reading is $25 \, cm$ on the tape. The real length of the given piece of wood must be:

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: