It is given by the ratio of pressure applied to the corresponding relative decrease in the volume of the material. Mathematically, it is represented as follows: B = Δ P / ( Δ V / V ) Where: B : Bulk modulus Δ P : change of the pressure or force applied per unit area on the material Δ V : change of the volume of the material due to the compression V : Initial volume of the material.

Yield point: The stage of a material when it yields to the deforming force and goes on increasing in length even when the load is kept constant is called yield point.

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What is elastic limit and breaking stress?

Important Questions on Matter : Structure and Properties

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Physical Science>Physics>Matter : Structure and Properties>Elasticity

Young’s moduli of the material of wires A and B are in the ratio of

1 : 4

, while its area of cross sections are in the ratio of

1 : 3

. If the same amount of load is applied to both the wires, the amount of elongation produced in the wires A and B will be in the ratio of [Assume length of wires A and B are same]

HARD

Physical Science>Physics>Matter : Structure and Properties>Elasticity

Calculate the strain energy per unit volume in a brass wire of length $3 m$ and area of cross-section $0.6 m m^{2}$ when it is stretched by $3 m m$ and a force of $6 k g w t$ is applied to its free end.

MEDIUM

Physical Science>Physics>Matter : Structure and Properties>Elasticity

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

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Physical Science>Physics>Matter : Structure and Properties>Elasticity

Define Bulk modulus.

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Physical Science>Physics>Matter : Structure and Properties>Elasticity

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

Physical Science>Physics>Matter : Structure and Properties>Elasticity

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

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Physical Science>Physics>Matter : Structure and Properties>Elasticity

Which one of the following is most elastic in nature?

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Physical Science>Physics>Matter : Structure and Properties>Elasticity

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 _____.

HARD

Physical Science>Physics>Matter : Structure and Properties>Elasticity

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,

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Physical Science>Physics>Matter : Structure and Properties>Elasticity

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

Physical Science>Physics>Matter : Structure and Properties>Elasticity

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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Physical Science>Physics>Matter : Structure and Properties>Elasticity

A wire is stretched under a force. If the wire suddenly snaps the temperature of the wire

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Physical Science>Physics>Matter : Structure and Properties>Elasticity

Define yield point.

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Physical Science>Physics>Matter : Structure and Properties>Elasticity

A wire can sustain a weight of

20 kg

before breaking. If the wire is cut into two equal parts, each part can sustain a weight of.

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Physical Science>Physics>Matter : Structure and Properties>Elasticity

What are the types of modulus of elasticity?

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Physical Science>Physics>Matter : Structure and Properties>Elasticity

Two wires of the same radius and material have their length in the ratio

1 : 2

. If these are stretched by same force and strain produced in the two wires will be in the ratio -

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Physical Science>Physics>Matter : Structure and Properties>Elasticity

The breaking strength of a rod of diameter 2 cm is

2 \times 10^{5} N

. Then that for rod of same material but diameter 4 cm will be

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Physical Science>Physics>Matter : Structure and Properties>Elasticity

What is the main factor on which modulus of elasticity of material depends?

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Physical Science>Physics>Matter : Structure and Properties>Elasticity

An elastic wire is cut to half its original length. How would it affect the maximum load that the wire can support?

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Physical Science>Physics>Matter : Structure and Properties>Elasticity

The stress versus strain graphs for wires of two materials A and B are as shown in fig. Which material is more brittle?
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What is elastic limit and breaking stress?

Important Questions on Matter : Structure and Properties

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