EASY

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Stress vs strain for the elastic tissue of the aorta, the large tube (vessel) carrying blood from the heart, will be: [Stress is proportional to square of the strain for the elastic tissue of the aorta]

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Important Questions on Elasticity

EASY

Physics>Mechanics>Elasticity>Stress-Strain Curve

A steel wire having a radius of

2.0 m m

, carrying a load of

4 k g,

is hanging from a ceiling. Given that

g = 3.1 π 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 \times 10^{9} N m^{- 2}

. What should be its area of cross-section to support a load of

10^{4} 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

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

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

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

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 \times 10^{10} 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 :

EASY

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

L_{1}

when mass

M

is suspended from its free end. The expression for Young’s modulus is:

EASY

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 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

Stress vs strain for the elastic tissue of the aorta, the large tube (vessel) carrying blood from the heart, will be: [Stress is proportional to square of the strain for the elastic tissue of the aorta]

Important Questions on Elasticity

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