Mechanical Properties of solids NCERT Solutions Class 11 Physics - Solved Exercise Question 9.15

Question 9.15:
Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0 ×106 Pa.
Solution:
Length of an edge of the solid copper cube, l = 10 cm = 0.1 m
Hydraulic pressure, p = 7.0 ×106 Pa
Bulk modulus of copper, B = 140 × 109 Pa
Bulk modulus, B = p / (∆V/V)
Where,
∆V/V = Volumetric strain
ΔV = Change in volume
V = Original volume.
ΔV = pV / B
Original volume of the cube, V = l3
∴ ΔV = pl3 / B
= 7 X 106 X (0.1)3 / (140 X 109)
= 5 X 10-8 m3  =  5 X 10-2 cm-3
Therefore, the volume contraction of the solid copper cube is 5 × 10–2 cm–3.

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