Generate Quiz 68C27A5941967

For a sphere with a constant radius ‘r’ traveling through a liquid with a viscosity n, force and velocity are directly proportional to one another, as demonstrated by the Stokes law equation (given below). Therefore, a straight line through the origin must be the graph’s shape.

F = 6πιηv

Fs = 6πrηv is the formula for viscous drag force.

It is evident from the given formula that F is proportional to v for a given object in a fluid, provided that r and η remain constant.

Therefore, the only appropriate relationship is option A.

Options B, C, and D are incorrect.

Height = h = 10 m

Gravitational acceleration = g = 9.8 m/s²

Speed = v =?

The formula

The speed of efflux through the leak can be ascertained by applying Torricelli’s law, which states that the following equation provides the speed of efflux of a fluid through an opening:

v = √2gh

= √2 × 9.8 × 10.

v = 14 m/s

The drag force for small objects (like bacteria) moving in a denser medium (like water) is determined by Stokes’ law, which reads Fs = 6πηrv, where r is the object’s radius, η is the fluid viscosity, and v is the object’s velocity.
The drag force and the object’s velocity are exactly proportional. Therefore, the drag force increases as the object’s velocity increases. For drag force, A is not always true.

√3P/ρ: This choice is the right formula for a gas’s root mean square velocity. The formula √(3ρ/P), where ρ is the gas’s density and P is its pressure, yields the RMS velocity.

A body is said to be in terminal velocity when the downward (weight) and upward (drag) forces acting on it are equal. This means that the body falls at a constant speed because there is no force acting on it as a result.

The formula for the equation of continuity is A1V1 = A2V2. The mass flow rate through a control volume is constant, according to this equation. Stated differently, the volume of fluid entering the control volume must be equal to the volume of fluid exiting the control volume.

The formula for the ratio of retarding force to speed (v) is (6πη r v)/v, or 6πη r.

The sum of the static and dynamic pressures remains constant while the water flows through the horizontal tube in a streamline flow.

P + 1/2 (ρv2) = P/2 +1/2 (ρv12)

v1 = √(P/ρ + v2)