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Question

Which of the following cannot be explained on the basis of Bernoulli's principle?


  1. Lift on an aircraft's wing

  2. Ink filler

  3. Swing of a cricket ball

  4. Atomizer

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Solution

The correct option is B

Ink filler


Bernoulli's Theorem:

  1. Bernoulli’s theorem is the relation between the pressure, velocity, and elevation in a moving fluid.
  2. The theorem states that the total mechanical energy of the flowing fluid is the sum of the energy associated with fluid pressure, the gravitational potential energy of elevation, and the kinetic energy of fluid motion, which remains constant.
  3. Bernoulli’s theorem is the principle of energy conservation for ideal fluids in a steady flow.

An illustrative diagram of Bernoulli's theorem:

The explanation of the correct option (B):

  1. Ink Filler works on the principle of both surface tension and pumps.
  2. The vacuum in the pen pulls the ink in the bottle to the pen.
  3. This ink travels through the small opening in the pen tip due to surface tension.

The explanation for the incorrect options (A), (C), and (D):

  1. The swing of a cricket ball is governed by the pressure difference caused on the two sides of the ball due to an initial spin.
  2. The atomizer is an application of Bernoulli's theorem. When a fast gas stream is injected, it is forced to follow a curved path up and downward on the other side of the tube. This curved path creates a lower pressure inside the top of the tube. This curve path caused lower pressure near the tube and the atmospheric pressure further up is the net force.
  3. The uplift occurs due to the pressure difference between the region below the wing (high pressure) and the lower region (low pressure).

Therefore, option B is the correct answer.


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