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NEST2022PhysicsThermodynamics

A horizontal cylinder, closed at one end, is rotated with a constant angular velocity about a vertical axis passing through the open end of the cylinder as shown in the figure. The outside air pressure is P₀ , temperature is T and the molar mass of the air is . Assume air to be an ideal gas and the temperature T remaining constant everywhere. The air pressure inside the cylinder is best described by

Options

  1. AP=P₀ [1+ (1+ ^2 x^2 2 R T ) ]
  2. BP=P₀ (1+ ^2 x^2 2 R T )
  3. CP=P₀ [1+ (- 2 R T ^2 x^2 ) ]
  4. DP=P₀ ( ^2 x^2 2 R T )

Correct answer

D. P=P₀ ( ^2 x^2 2 R T )

Step-by-step solution

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