Physics Fluid Dynamics PMDC Conceptual Practice
PMDC Verified Question 4 of 37
The net acceleration of a spherical body falling freely through a viscous fluid depends upon which of the following factors?
A
The density of the body.
B
The instantaneous velocity of the body.
C
The viscosity of the fluid.
D
All of the above.
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: All of the above.
Concept:

The acceleration of a body falling through a fluid is determined by Newton's Second Law, balancing gravity, buoyant force, and the drag force.

Formula:

$$ m a = m g - F_B - F_D $$

Solution:

  • The mass \( m \) is related to the density of the body.
  • The buoyant force \( F_B \) depends on fluid density and volume.
  • The drag force \( F_D \) (Stokes' drag) depends on the fluid's viscosity and the instantaneous velocity of the body.
  • Therefore, acceleration is a function of velocity, fluid viscosity, and the body's density.


Why other options are incorrect:

Options A, B, and C are incomplete. The acceleration dynamically depends on all three factors working together.

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