HARD
Earn 100

Explain stress versus strain graph with the help of a neat labelled diagram.

Important Questions on Elasticity

MEDIUM
Physics>Mechanics>Elasticity>Stress-Strain Curve
The decrease in length of a metal bar of length L and cross-sectional area A when compressed with a load M along its length is ( Y= Young's modulus of the material of metal bar)
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
Two wires are made of the same material and have the same volume. The first wire has cross-sectional area A and the second wire has cross-sectional area 3A. If the length of the first wire is increased by ∆l on applying a force F, how much force is needed to stretch the second wire by the same amount?
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
The value of tan⁡θ in the graph gives

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HARD
Physics>Mechanics>Elasticity>Stress-Strain Curve
An external pressure P is applied on a cube at 0°C so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and α is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by:
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 Young's modulus of steel is twice that of brass. Two wires of same length and of same area of cross-section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of:
MEDIUM
Physics>Mechanics>Elasticity>Stress-Strain Curve
The length of elastic string obeying Hooke's law is l1 metres when the tension is 4 N and l2 metres when the tension is 5 N. The length in metres when the tension is 9 N is,
MEDIUM
Physics>Mechanics>Elasticity>Stress-Strain Curve
The bulk modulus of a spherical object is B. If it is subjected to uniform pressure p, the fractional decrease in radius is
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
Which one of the following is most elastic in nature?
MEDIUM
Physics>Mechanics>Elasticity>Stress-Strain Curve
A metal rod of length L and cross-sectional area A is heated through T °C. What is the force required to prevent the expansion of the rod lengthwise?
[Y = Young's modulus of the material of rod, α= coefficient of linear expansion]
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
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
A rubber cord of density d, Young's modulus Y and length L is suspended vertically. If the cord extends by a length 0.5L under its own weight, then L is
MEDIUM
Physics>Mechanics>Elasticity>Stress-Strain Curve
A load of mass M kg is suspended from a steel wire of length 2 m and radius 1.0 mm in Searle's apparatus experiment. The increase in length produced in the wire is 4.0 mm. Now the load is fully immersed in a liquid of relative density 2. The relative density of the material of load is 8. The new value of increase in length of the steel wire is:
MEDIUM
Physics>Mechanics>Elasticity>Stress-Strain Curve
A steel rail of length 5 m and area of cross section 40 cm2 is prevented from expanding along its length while the temperature rises by 10°C . If coefficient of linear expansion and Young's modulus of steel are 1.2×10-5  K-1 and 2×1011 N m-2 respectively, the force developed in the rail is approximately:
EASY
Physics>Mechanics>Elasticity>Stress-Strain Curve
In materials like aluminium and copper,  the correct order of magnitude of various elastic modulii is :
MEDIUM
Physics>Mechanics>Elasticity>Stress-Strain Curve
One end of a slack wire (Young's modulus, Y, length, L and cross-sectional area, A) is clamped to a rigid wall and the other end to a block (mass m) which rests on a smooth horizontal plane. The block is set in motion with a speed, v. What is the maximum distance the block will travel after the wire becomes taut?
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
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
HARD
Physics>Mechanics>Elasticity>Stress-Strain Curve
In plotting stress versus strain curves for two materials P and Q , a student by mistake puts strain on the y -axis and stress on the x - axis as shown in the figure. Then the correct statement(s) is(are)

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