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Mechanical Properties Of Solids

Question
CBSEENPH11026336

Find the increase in pressure required to decrease the volume of water sample by 0.01%. Bulk modulus of water = 2.1 × 109 Nm-2 .

  • 4.3x 104 N/m2

  • 1.8 × 107 N/m2 

  • 2.1 × 105 N/m2

  • 3.7 × 104 N/m2

Solution

C.

2.1 × 105 N/m2

Given:-  Bulk modulus of water B = 2.1 × 109 N/m2

Also given that

    VV = 0.01 %

            = 0.01100

     VV= 10-4

We know that,

The ratio of change in pressure to the fractional volume compression is called the bulk modulus of the material.

     B = p VV

     p = B VV

         = 2.1 × 109 × 10-4

    p = 2.1 × 105 N/m2