The Reynolds Transport Theorem (RTT) relates the rate of change of an extensive property within a control volume to the rate at which the property enters or exits the control volume. In the RTT, the property is first considered in the system and its total change is then analyzed as it flows in and out of the control volume.
Therefore, the correct sequence of phrases is:
- The rate of change of system extensive property can be calculated by summing the rate of change of the amount of the same property in the control volume, and the rate at which the property is exiting the surface of the control volume.
Thus, the correct answer is (A) system, control volume, exiting.
Consider two identical tanks with a bottom hole of diameter \( d \). One tank is filled with water and the other tank is filled with engine oil. The height of the fluid column \( h \) is the same in both cases. The fluid exit velocity in the two tanks are \( V_1 \) and \( V_2 \). Neglecting all losses, which one of the following options is correct?

A pitot tube connected to a U-tube mercury manometer measures the speed of air flowing in the wind tunnel as shown in the figure below. The density of air is 1.23 kg m\(^{-3}\) while the density of water is 1000 kg m\(^{-3}\). For the manometer reading of \( h = 30 \) mm of mercury, the speed of air in the wind tunnel is _________ m s\(^{-1}\) (rounded off to 1 decimal place).

Consider a velocity field \( \vec{V} = 3z \hat{i} + 0 \hat{j} + Cx \hat{k} \), where \( C \) is a constant. If the flow is irrotational, the value of \( C \) is (rounded off to 1 decimal place).