What is the unit of dynamic viscosity of a fluid termed as 'Poise' equivalent to?
- A.dyne/cm²
- B.dyne-sec/cm²
- C.gm-sec/cm²
- D.gm-cm/sec²
Show answer
Correct answer: B. dyne-sec/cm²
Explanation
The correct answer is B, dyne-sec/cm². The poise is the CGS unit of dynamic or absolute viscosity, named after the French physician Jean Poiseuille, and one poise equals one dyne-second per square centimetre, which is the same as one gram per centimetre per second. Dynamic viscosity measures the internal friction of a fluid, the shearing stress needed for a unit rate of shear, so its unit is a stress multiplied by time. In SI the unit is the pascal-second, and one poise equals 0.1 pascal-second. Water at room temperature has a viscosity of about one centipoise, while honey is thousands of times thicker. A is wrong because dyne/cm² is a unit of stress or pressure, with no time in it. C is wrong because gram is a unit of mass, and g-sec/cm² does not reduce to the dimensions of viscosity. D is wrong because gm-cm/sec² is the dyne itself, a unit of force. Exam tip: 1 poise = 1 dyne-s/cm² = 0.1 Pa-s; water is about 1 centipoise.