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The bulk modulus of a liquid is The pressure required to reduce the given volume of this liquid by is
(a)
(b)
(c)
(d)

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Important Questions on Mechanical Properties of Matter
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Consider a metallic wire of length . An external force applied results in an elongation of . What is the potential energy stored per unit volume
[Young's modulus of wire ]

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What is the elastic potential energy stored in a stretched steel wire of length The wire is stretched through and consists of cross-sectional area of
(Young's modulus of steel )

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If a spring of spring constant is compressed by , then the energy stored in the spring is

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One ton stone is put on a larger piston of diameter of a hydraulic lift and a pressure has to be applied on the smaller piston of diameter , to lift the stone. The pressure , is approximately

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A vessel contains oil (density ) over mercury (density ). 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 ) is

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Total pressure at the bottom of a filled water tank is . If a small hole is made at the bottom of the tank, then what is the velocity of efflux? [Use density of water as ]

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Work done in increasing the size of a soap bubble from a radius of to is nearly (surface tension of soap solution )

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A cylindrical wire of length density is kept on the surface of the liquid. What can be the maximum radius, of the wire such that it is in equilibrium due to the surface tension, of liquid? (Assume and the contact angle is is the acceleration due to gravity)
