Question

The flow of oil of density $800\text{ kgm}^{-3}$ through a horizontal pipe is streamlined. If the pressure between two points separated by 1m in the tube falls by $1.6\text{ Nm}^{-2}$, then the change in kinetic energy per kg of the liquid between these points is

• A. $16\times 10^{-4}\text{ J kg}^{-1}$
• B. $2\times 10^{-3}\text{ J kg}^{-1}$
• C. $4\times 10^{-3}\text{ J kg}^{-1}$
• D. $8\times 10^{-4}\text{ J kg}^{-1}$
• E. $32\times 10^{-2}\text{ J kg}^{-1}$

Hint:

Logic Tip: Pay close attention to the requested units. "Energy per kg" means dividing the standard energy expression by mass. Since pressure is energy per unit volume, dividing pressure by density (mass per unit volume) directly yields energy per unit mass.

Answer 1

The Correct Option is B