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Determine the region where Hooke’s law is obeyed, the ultimate strength point and fracture point in the given stress-strain graph.

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Important Questions on Elasticity

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Physics>Mechanics>Elasticity>Stress-Strain Curve
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 m s-2, what will be the tensile stress that would be developed in the wire?
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
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:
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
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
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
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?
HARD
Physics>Mechanics>Elasticity>Stress-Strain Curve
A steel wire is suspended vertically from a rigid support. When the wire is loaded with a weight in air, it is extended by xa. When the weight is completely inside the water, the extension becomes xw. The relative density of the material of the weight is,
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
For a perfectly rigid body,
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
In materials like aluminium and copper,  the correct order of magnitude of various elastic modulii is :
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
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
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
A fixed volume of iron is drawn into a wire of length ‘L’. The extension ‘x’ produced in the wire by a constant force ‘F’ is proportional to _____.
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Physics>Mechanics>Elasticity>Stress-Strain Curve
Which one of the following is most elastic in nature?
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
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)
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
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
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
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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Physics>Mechanics>Elasticity>Stress-Strain Curve
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?
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
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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Physics>Mechanics>Elasticity>Stress-Strain Curve
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
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
The Young's modulus of a perfectly rigid body is
MEDIUM
Physics>Mechanics>Elasticity>Stress-Strain Curve
Two wires of the same material and length but cross sectional area in the ratio 1:2 are used to suspend the same loads. The extension in them will be in the ratio
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
A wire of diameter 1 mm breaks under a tension of 1000 N. Another wire of the same material as that of the first one, but of diameter 2 mm breaks under a tension of:
MEDIUM
Physics>Mechanics>Elasticity>Stress-Strain Curve
The elastic limit of brass is 379 MPa. The minimum diameter of a brass rod if it is to support a 400 N load without exceeding its elastic limit will be