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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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Important Questions on Mechanical Properties of Matter

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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
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Total pressure at the bottom of a filled water tank is 2.0 atm. If a small hole is made at the bottom of the tank, then what is the velocity of efflux? [Use density of water as 1000 kg mL-3, 1 atm=105 Pa]
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Work done in increasing the size of a soap bubble from a radius of 3 cm to 5 cm is nearly (surface tension of soap solution =0.05Nm-1)
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A cylindrical wire of length 1, density d is kept on the surface of the liquid. What can be the maximum radius, r of the wire such that it is in equilibrium due to the surface tension, T of liquid? (Assume 1>r and the contact angle is 0°, g is the acceleration due to gravity)