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Test: Hooke’s Law and Stress-Strain Curve (August 14) - NEET MCQ


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10 Questions MCQ Test - Test: Hooke’s Law and Stress-Strain Curve (August 14)

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Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 1

 Which of the following options is correct?

Detailed Solution for Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 1

The point A refers to the point till which hooke’s law can be followed, i.e: stress ∝ strain. It is also called the proportional limit. The point B refers to the point upto which if stress is applied the metal, on removal of stress, will regain its natural length. It is called yield point or elastic limit. The point C refers to the maximum tensile strength. And point D refers to the point where the material breaks or fractures.

Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 2

The stress corresponding to fracture point is called ______

Detailed Solution for Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 2

Breaking stress refers to the stress at which the material fractures. Ultimate stress is the maximum stress a material can handle before breaking. The material doesn’t fracture at this stress. Yield stress refers to the stress after which plastic deformation begins.

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Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 3

Which of the following statements is correct for ductile materials.

Detailed Solution for Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 3

Ductile materials are those which can be drawn into wires as they deform by a significant amount between elastic limit and fracture point. The stress-strain curve of a ductile material looks like:

Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 4

 Which of the following statements is correct for brittle materials.

Detailed Solution for Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 4

Brittle materials break soon after elastic limit. They show no significant plastic deformation and hence can’t be used for making wires. Their stress-strain curve looks like:

Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 5

What does the area under the stress-strain curve represent?

Detailed Solution for Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 5

 Area under the stress-strain curves represents toughness. Total deformation is given by the net strain multiplied by original length. Modulus of elasticity is the ratio of stress to strain under elastic limit.

Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 6
Which law states about strain being proportional to stress producing it within the elastic limit of a material?
Detailed Solution for Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 6
Hooke's law states that within the elastic limit the stress applied on a body is directly proportional to the strain produced.
Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 7
According to Hooke's law, if stress is increased the ratio of stress to strain will _________
Detailed Solution for Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 7
According to Hooke's law, the ratio of stress to strain remains constant when stress is increased.
Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 8
Two rods A and B are made of the same material. The diameter of both the rods is equal, but the length of rod A is more than rod B. If the tensile force applied on both the rods are equal, then which of the following statement is correct?
Detailed Solution for Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 8
Elongation in a rod is directly proportional to its length. Since the length of rod A is more than rod B and the force applied is equal, elongation in rod A will be more than rod B.
Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 9

A wire of diameter 7 mm and length 1 m is stretched within the elastic limit by the 77 kN pull. If the elongation of the wire for this force is noted as 2 mm, then find Young's modulus of elasticity for the material of the wire.

Detailed Solution for Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 9

The Young's modulus of elasticity for the material of the wire is 106 Pa.

Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 10
If material is loaded within the elastic limit then the slope of the stress-strain curve:
Detailed Solution for Test: Hooke’s Law and Stress-Strain Curve (August 14) - Question 10
The slope of the stress-strain curve depends on the Young's modulus of elasticity when the material is loaded within the elastic limit.
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