Mechanical Properties of Solids Test

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Mechanical Properties of Solids Test - 12

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Question 1
1 / -0

A stretched rubber has :

A
increased kinetic energy

B
increased potential energy

C
decreased kinetic energy

D
decreased potential energy

Solution

Due to stretching, a potential energy is stored in the rubber band which is released on releasing the rubber. Thus, potential energy is increased.
Question 2
1 / -0

A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower end. The weight stretches the wire by 1 mm. Then the elastic energy stored in the wire is:

A
0.1 J

B
0.2 J

C
10 J

D
20 J

Solution

$$energy=\frac{1}{2}Fl$$

$$=\frac{1}{2}\times 200\times \frac{1}{1000}$$

$$=0.1J$$ .
Question 3
1 / -0

The Young's modulus of the material of the wire of length $$L$$ and radius $$r$$ is $$Y{ N }/{ { m }^{ 2 } }$$. If the length is reduced to $${ L }/{ 2 }$$ and radius $${ r }/{ 2 }$$, the Young's modulus will be:

A
$$\dfrac { Y }{ 2 } $$

B
$$Y$$

C
$$2Y$$

D
$$4Y$$

Solution
Question 4
1 / -0

Fill in the blank.
In a technical sense a substance with a ________ elasticity is one that requires a ______ force to produce a distortion-for example, a steel sphere.

A
high, small

B
high, large

C
low, large

D
low , small

Solution

According to Hooke's law, within elastic limit,
$$E=\dfrac{stress}{strain}$$$$=\dfrac{deforming\ force}{(area\times strain)}$$
It means higher the elasticity, larger will be the required deforming force.
Hence, in a technical sense a substance with a high elasticity is one that requires a high force to produce a distortion.
Question 5
1 / -0

The Bulk modulus for an incompressible liquid is :

A
Zero

B
Unity

C
Infinty

D
Between 0 and 1

Solution

For incompressible fluid, $$\Delta V=0$$
Bulk modulus $$B=-V\dfrac { dP }{ dV } =\dfrac { 1 }{ 0 } =\infty $$
Hence, option C is correct.
Question 6
1 / -0

Which of the following is an example of elastic deformation?

A
stretching a rubber band

B
stretching salt water taffy

C
both

D
none

Solution

$$Answer:-$$ A
Elastic deformation-This type of deformation is reversible. Once the forces are no longer applied, the object returns to its original shape. Elastomers and shape memory metals such as Nitinol exhibit large elastic deformation ranges, as does rubber.
Before yield point materials behave as elastic.
Question 7
1 / -0

The property to restore the natural shape or to oppose the deformation is called :

A
elasticity

B
plasticity

C
ductility

D
none of the above

Solution

The property of a body to regain its original shape when the deforming force is removed from it or to oppose the change in its original shape is called elasticity.
Plasticity is the property of a body not to regain its original shape when the deforming force is removed.
Ductility is commonly defined as the ability of a body to be stretched into wires.
Question 8
1 / -0

In plastic deformation, deformation is

A
reversible

B
permanent

C
both

D
none
Solution
$$answer:-$$ B
Deformation refers to any changes in the shape or size of an object due to-
an applied force (the deformation energy in this case is transferred through work) or
a change in temperature (the deformation energy in this case is transferred through heat).
Plastic deformation-This type of deformation is irreversible. However, an object in the plastic deformation range will first have undergone elastic deformation, which is reversible, so the object will return part way to its original shape.
If you cross yield point it becomes plastic deformation.
Question 9
1 / -0

The bulk modulus of elasticity with increase in pressure

A
increases

B
decreases

C
remains constant

D
increases first up to certain limit and then decreases

Solution

The bulk modulus of a substance is measure of how compressible that substance is. It is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume.It is a property of a particular material. Hence it does not change with pressure.
Correct answer is option C.
Question 10
1 / -0

The property of a material due to which shape is changed permanently is known as:

A
Elasticity

B
Plasticity

C
Ductility

D
None of the above

Solution

The property of a body to regain its original shape when the deforming force is removed from it or to oppose the change in its original shape is called elasticity.

Plasticity is the property of a material not to regain its original shape when the deforming force is removed, i e. a deforming force changes the shape of material permanently.

Ductility is commonly defined as the ability of a body to be stretched into wires.

Hence, option B is correct.

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Mechanical Properties of Solids Test - 12

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Mechanical Properties of Solids Test - 12

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Question 1

increased kinetic energy

increased potential energy

decreased kinetic energy

decreased potential energy

Solution

Question 2

0.1 J

0.2 J

10 J

20 J

Solution

Question 3

$$\dfrac { Y }{ 2 } $$

$$Y$$

$$2Y$$

$$4Y$$

Solution

Question 4

high, small

high, large

low, large

low , small

Solution

Question 5

Zero

Unity

Infinty

Between 0 and 1

Solution

Question 6

stretching a rubber band

stretching salt water taffy

both

none

Solution

Question 7

elasticity

plasticity

ductility

none of the above

Solution

Question 8

reversible

permanent

both

none

Solution

Question 9

increases

decreases

remains constant

increases first up to certain limit and then decreases

Solution

Question 10

Elasticity

Plasticity

Ductility

None of the above

Solution

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