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WBJEE · Physics · Mechanical Properties of Fluids

A small spherical body of radius \(r\) and density p moves with the terminal velocity \(v\) in a fluid of coefficient of viscosity \(\eta\) and density \(\bar{\sigma}\). What will be the net force on the body?

  1. A \(\frac{4 \pi}{3} r^{3}(p-\sigma) g\)
  2. B \(6 \pi \eta rv\)
  3. C Zero
  4. D Infinity
Verified Solution

Answer & Solution

Correct Answer

(C) Zero

Step-by-step Solution

Detailed explanation

When the spherical body falls with constant velocity, i.e. terminal velocity then the net force becomes zero, i.e the weight of body is equal to the buoyancy force. Hence, \(F_{\text {net }}=0\)
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