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A spherical ball contracts in volume by 0.02% when subjected to a pressure of 100 atmosphere. Assuming one atmosphere = 105 Nm−2, the bulk modulus of the material of the ball is: -

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Question

A spherical ball contracts in volume by 0.02% when subjected to a pressure of 100 atmosphere. Assuming one atmosphere = 105 Nm−2, the bulk modulus of the material of the ball is:

Options

  • 0.02 × 105 N/m2

  • 0.02 × 107 N/m2

  • 50 × 107 N/m2

  • 50 × 109 N/m2

MCQ

Solution

50 × 109 N/m2

Explanation:

B = `-(Δ"P")/(Δ"V"//"V")`

= `(100 xx 10^5)/((0.02//100))`

= 50 × 109 N/m2

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