Moderate

The viscous drag on small spherical body (moving with slow speed v) is propotional to

Correct answer: A. v

  • A. v
  • B. Square root of v
  • C. 1/square root of v
  • D. v2

Explanation

Formula for viscous drag force is Fs = 6πrηv. Form the given formula it can be seen that keeping r and η constant for a specific object in a fluid, F is proportional to v. Option A is hence the only correct relation. Option B, C & D are wrong relations.

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About Fluid Dynamics

Fluid flow is described through speed, pressure and density, including steady flow and the equation of continuity for conserving mass. Bernoulli's equation relates pressure, speed and height, while fluid drag and terminal velocity explain why a falling object eventually moves at constant speed when drag balances its weight.

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