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Q.

The bulk modulus of water if its volume changes from 100 litre to 99.5 litre under a pressure of 100 atm is (Take 1 atm = 105 N m-2)

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a

2×107 Nm-2

b

2 × 108 Nm-2

c

2× 109 Nm-2

d

2 × 1010 Nm-2

answer is C.

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Detailed Solution

According to definition of bulk modulus,B = P∆VVHere, P = 100 atm = 100×105 Nm-2 = 107 Nm-2        ∆V = (99.5-100) litre = -0.5 litre         V = 100 litre         B = 107Nm-2(-0.5 litre/100) = 2×109 Nm-2
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