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The dimensional formula of Young's modulus is: 

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Important Questions on Mechanics of Solids and Fluids

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A and B are two wires. The radius of A is twice that of B. They are stretched by the same load. Then the stress on B is
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A cube of metal is subjected to a hydrostatic pressure 4 GPa. The percentage change in the length of the side of the cube is close to : (Given bulk modulus of metal, B=8×1010 Pa)
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A wire of length L, area of cross section A is hanging from a fixed support. The length of the wire changes to L1 when mass M is suspended from its free end. The expression for Young’s modulus is:
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The speed of the water in a river is V near the surface. If the coefficient of viscosity of water is η and the depth of the river is H, then the shearing stress between the horizontal layers of water is
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A steel wire having a radius of 2.0 mm , carrying a load of 4 kg, is hanging from a ceiling. Given that g=3.1π s-2, what will be the tensile stress that would be developed in the wire?
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Breaking stress of a steel wire is p and the density of steel is ρ. The greatest length of steel wire that can hang vertically without breaking is
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An object of mass m is suspended at the end of a massless wire of length L and area of cross-section, A. Young modulus of the material of the wire is Y. If the mass is pulled down slightly its frequency of oscillation along the vertical direction is :
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A metal rod of cross-sectional area 3×10-6 m2 is suspended vertically from one end has a length 0.4 m at 100 °C. Now the rod is cooled upto 0 °C, but prevented from contracting by attaching a mass m at the lower end. The value of m is (Y=1011 N m-2, coefficient of linear expansion =10-5 K-1, g=10 m s-2)
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Copper of fixed volume V is drawn into wire of length l. When this wire is subjected to a constant force F, the extension produced in the wire is l. Which of the following graph is a straight line?
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In materials like aluminium and copper,  the correct order of magnitude of various elastic modulii 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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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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If S is the stress andY is Young's modulus of material of a wire, the energy stored in the wire per unit volume is
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A rubber cube of side 5 cm has one face fixed while a tangential force 1800 N is applied on its opposite face. If modulus of rigidity of rubber is 2.4×106 N m-2, then the lateral displacement of the strained face is______.
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A metallic rod breaks when strain produced is 0.2%. Young's modulus of the material of the rod is 7×109 N m-2. What should be its area of cross-section to support a load of 104 N?
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When a block of mass M is suspended by a long wire of length L, the length of the wire becomes L+l. The elastic potential energy stored in the extended wire is
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A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a factor of: