A fluid flows past a sphere in streamline flow. The viscous force on t

1.	A fluid flows past a sphere in streamline flow. The viscous force on the sphere is directly proportional to (A) the radius of the sphere (B) the speed of the flow (C) the coefficient of viscosity of the fluid (D) all of these.
Answer» Correct Option is (D) All of these We know that , the viscous force \(F = \eta A \left(\frac{dv}{dx}\right)\) where, F = Viscous Force \(\eta\) = Viscocity cofficient A = Area dv = velocity change with dx then viscous force is directly proportional to \(F \propto \eta\) \(F \propto A \) \(F \propto v\) Then , all option is correct (D) all of these.

A fluid flows past a sphere in streamline flow. The viscous force on the sphere is directly proportional to (A) the radius of the sphere (B) the speed of the flow (C) the coefficient of viscosity of the fluid (D) all of these.

Answer»

Correct Option is (D) All of these

We know that , the viscous force

\(F = \eta A \left(\frac{dv}{dx}\right)\)

where,

F = Viscous Force

\(\eta\) = Viscocity cofficient

A = Area

dv = velocity change with dx

then viscous force is directly proportional to

\(F \propto \eta\)

\(F \propto A \)

\(F \propto v\)

Then , all option is correct

(D) all of these.