EASY

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The ability of a material to undergo plastic deformation without rupture, when a compressive force is applied, is known as

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Important Questions on Elasticity

MEDIUM

Physics>Mechanics>Elasticity>Stress-Strain Curve

The ratio of the length of two wires

a

and

b

of same materials is

1 : 3

and the ratio of their diameters is

3 : 1

. They are stretched by the same force then the ratio of increases in length will be

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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EASY

Physics>Mechanics>Elasticity>Stress-Strain Curve

A steel rod has radius

50 mm

and length

2 m

. It is stretched along its length with a force of

400 kN

. This causes an elongation of

0.5 mm

. Find the (approximate) Young's modulus of steel from this information.

EASY

Physics>Mechanics>Elasticity>Stress-Strain Curve

A crane with a steel cable of length

11 m

and radius

2.0 cm

is employed to lift a block of concrete of mass

40

tons in a building site. If the Young's Modulus of steel is

2.0 \times 10^{11} Pa

, what will be roughly the increase in the length of the cable while lifting the block? (Take

g = 10 m s^{- 2}

)

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

x_{a}

. When the weight is completely inside the water, the extension becomes

x_{w}

. The relative density of the material of the weight is,

EASY

Physics>Mechanics>Elasticity>Stress-Strain Curve

The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum when the same tension is applied?

MEDIUM

Physics>Mechanics>Elasticity>Stress-Strain Curve

A copper wire of cross-sectional area

0.01 {cm}^{2}

is under a tension of

22 N

. Find the percentage change in the cross-sectional area (Young's modulus of copper

= 1.1 \times 10^{11} N m^{- 2}

and Poisson ratio

= 0.32

)

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 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 _____.

EASY

Physics>Mechanics>Elasticity>Stress-Strain Curve

Which one of the following is most elastic in nature?

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

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 M P a

. 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

Figure shows the strain-stress curve for a given material. What are (a) Young's modulus and (b) approximate yield strength for fluis material?

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