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Q.

The volume change of a solid copper cube 10 cm on an edge, when subjected to a pressure of 7 MPa is (Bulk modulus of copper = 140 GPa)

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a

10 × 10-2 cm3

b

20 × 10-2 cm3

c

5 ×10-2 cm3

d

15 × 104 cm3

answer is A.

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Detailed Solution

Here, L = 10 cm = 10× 10-2 m

         P = 7 MPa = 7 × 106 Pa

        B = 140 GPa = 140 × 109 Pa

    As   B = PVV

V = PVB = PL3B = (7 ×106Pa)(10×10-2m)3140×109 Pa

         = 5×10-8m3 = 5 × 10-2 cm3

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