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Concepts Of Physics MCQ Edition [Volume 1]PhysicsSome Mechanical Properties of Matter

Determine the increase in pressure needed to reduce the volume of a water sample by 0.01 % . The bulk modulus of water is 2.1 10^9 N/m ^2 .

Options

  1. A2.1 10^5 N/m ^2
  2. B2.1 10^4 N/m ^2
  3. C2.1 10^6 N/m ^2
  4. D2.1 10^7 N/m ^2

Correct answer

A. 2.1 10^5 N/m ^2

Step-by-step solution

The bulk modulus B is defined as: B = P V V Given the percentage reduction in volume is 0.01 % , the fractional change in volume is: V V = 0.01 100 = 10⁻⁴ The bulk modulus of water is B = 2.1 10^9 N/m ^2 . The required increase in pressure P is: P = B V V P = (2.1 10^9) 10⁻⁴ P = 2.1 10^5 N/m ^2

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