Mechanical Properties of Solids Test

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Mechanical Properties of Solids Test - 14

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Weekly Quiz Competition

Question 1
1 / -0

A material has Poisson's ratio $$0.5$$. if a uniform rod of it suffers a longitudinal strain of $$2\times {10}^{3}$$, then the percentage change in volume is

A
$$0.6$$

B
$$0.4$$

C
$$0.2$$

D
zero

Solution

Poisson's ratio is a material property. Therefore it doesn't change with dimensions.
Option D
Question 2
1 / -0

Which of the following statements is incorrect?

A
When a material is under tensile stress, the restoring forces are caused by interatomic attraction while under compressional stress, the restoring force is due to interatomic repulsion

B
The stretching of a coil is determined by its shear modulus

C
Rubber is more elastic than steel

D
Shearing stress plays an important role in the buckling of shafts

Solution

More elastic means, the value of an elastic constant is more and. Steel have move elastic constant in compare to Rubber, So Steel is more elastic than rubber.
All other statements are correct.
Question 3
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Which of the following statements is incorrect?

A
The bulk modulus for solids is much larger than for liquids

B
Gases are least compressible

C
For a system in equilibrium, the value of bulk modulus is always positive

D
The SI unit of bulk modulus is same that of pressure

Solution

Solids are least compressible whereas gases are most compressible. Gases are about a million times compressible than solids.
All other statements are correct.
Question 4
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For an ideal liquid

A
bulk modulus is infinite and shear modulus is zero

B
bulk modulus is zero and shear modulus is infinite

C
bulk modulus is infinite and shear modulus is also infinite

D
bulk modulus is zero and shear modulus is also zero

Solution

The correct option is (A).

Explanation: The bulk modulus is the measure of the resistance of the fluid to compression. It is the ratio of applied pressure to the change in volume. And for ideal fluid change in volume is zero so bulk modulus is infinity.
The shear force is the ratio of force per unit area. So, in case of ideal liquids the shear strain is infinite.
Therefore, the shear modulus is zero.
Question 5
1 / -0

The Young's modulus of a wire of length $$L$$ and radius $$r$$ is $$Y$$. If the length is reduced to $$\cfrac{L}{2}$$ and radius is $$\cfrac{r}{2}$$, then the Young's modulus will be

A
$$\cfrac { Y }{ 2 } $$

B
$$Y$$

C
$$2Y$$

D
$$4Y$$

Solution

Young's modulus is a property of a material. So it depends upon the nature of the material and not on geometrical dimensions.
Question 6
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If Poisson's ratio $$\sigma$$ for a material is $$-\dfrac {1}{2}$$, then the material is

A
Elastic fatigue

B
Incompressible

C
Compressible

D
None of the above

Solution

We know that compressibility,
$$C = \dfrac {1}{K}$$
Also, $$\dfrac {dV}{V} = (1 + 2\sigma) \dfrac {dL}{L}$$
Given, $$\sigma = -\dfrac {1}{2}$$, then $$\dfrac{dV}{V} = 0$$
i.e., volume is Constant
or $$k= \infty$$ i.e., the material is incompressible.
Question 7
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Longitudinal strain is possible in:

A
Gases

B
Liquids

C
Solids

D
All of these

Solution

Longitudinal strain is defined as the ratio of the change in length of body to the original length of the body and it is possible only in Solids.
Hence, correct answer is C.
Question 8
1 / -0

The shear modulus is also known as

A
bulk modulus

B
Young's modulus

C
modulus of rigidity

D
Poisson's ratio

Solution

The shear modulus is also known as modulus of rigidity
Question 9
1 / -0

Longitudinal strain is

A
always positive

B
always negative

C
may be positive or negative

D
zero

Solution

When an object is elongated, longitudinal strain is positive and if it is compressed, it is negative

Thus, the option (c) is the correct option
Question 10
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Bulk Modulus, Pressure, Force, Stress, which one of these wont have the same unit as the others?

A
Bulk Modulus

B
Pressure

C
Force

D
Stress

Solution

The SI unit of Bulk Modulus, Pressure and Stress is $$N/m^2$$ but the unit of Force is N.

The correct option is option(c)

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Re-Attempt Weekly Quiz Competition

Mechanical Properties of Solids Test - 14

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Mechanical Properties of Solids Test - 14

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SHARING IS CARING

Question 1

$$0.6$$

$$0.4$$

$$0.2$$

zero

Solution

Question 2

When a material is under tensile stress, the restoring forces are caused by interatomic attraction while under compressional stress, the restoring force is due to interatomic repulsion

The stretching of a coil is determined by its shear modulus

Rubber is more elastic than steel

Shearing stress plays an important role in the buckling of shafts

Solution

Question 3

The bulk modulus for solids is much larger than for liquids

Gases are least compressible

For a system in equilibrium, the value of bulk modulus is always positive

The SI unit of bulk modulus is same that of pressure

Solution

Question 4

bulk modulus is infinite and shear modulus is zero

bulk modulus is zero and shear modulus is infinite

bulk modulus is infinite and shear modulus is also infinite

bulk modulus is zero and shear modulus is also zero

Solution

Question 5

$$\cfrac { Y }{ 2 } $$

$$Y$$

$$2Y$$

$$4Y$$

Solution

Question 6

Elastic fatigue

Incompressible

Compressible

None of the above

Solution

Question 7

Gases

Liquids

Solids

All of these

Solution

Question 8

bulk modulus

Young's modulus

modulus of rigidity

Poisson's ratio

Solution

Question 9

always positive

always negative

may be positive or negative

zero

Solution

Question 10

Bulk Modulus

Pressure

Force

Stress

Solution

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