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A bar is made up of material whose Young's modulus is E, Poisson's ratio μ and is subjected to hydrostatic pressure p. The fractional change in its volume ΔVV is

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Important Questions on Mechanical Properties of Matter

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A body is subjected to stress resulting in the change in volume of the body. The stress must be
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The radius of a sphere is found to have reduced by 0.01%, when measured at a depth 'H' of the sea. If the bulk modulus of elasticity of the material of sphere is 4×1010 N m-2 and density of water is 1000 kg m-3, find the value of H ' (use g=10 m s-2 
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The bulk modulus of a liquid is 3×109 N m-2 The pressure required to reduce the given volume of this liquid by 1% is
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Consider a metallic wire of length 10 m. An external force applied results in an elongation of 5 mm. What is the potential energy stored per unit volume
[Young's modulus of wire Y=16×1010 N m-2]
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What is the elastic potential energy stored in a stretched steel wire of length 4 m. The wire is stretched through 4 mm and consists of cross-sectional area of 8 mm2.
(Young's modulus of steel =2.0×1011 N m-2)
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If a spring of spring constant 200 N m-1 is compressed by 5 cm, then the energy stored in the spring is
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One ton stone is put on a larger piston of diameter 40 cm of a hydraulic lift and a pressure P has to be applied on the smaller piston of diameter 2 cm, to lift the stone. The pressure P, is approximately
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A vessel contains oil (density =0.8 g cm-3 ) over mercury (density =13.6 g cm-3 ). A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere (in g cm-3) is