Q. A wire of length L and diameter d is stretched by a force F. If the diameter is halved while keeping the length constant, what happens to the stress in the wire? (2022)
A.
It doubles
B.
It quadruples
C.
It remains the same
D.
It halves
Solution
Stress (σ) = Force (F) / Area (A). Halving the diameter increases the area by a factor of 4, thus stress quadruples.
Q. A wire of length L and diameter d is stretched by a force F. If the diameter is halved while keeping the length constant, what happens to the stress? (2020)
A.
It doubles
B.
It quadruples
C.
It halves
D.
It remains the same
Solution
Stress = Force / Area. Halving the diameter increases the area by a factor of 1/4, thus stress quadruples.
Q. A wire of length L and diameter d is stretched by a force F. If the diameter is doubled, what will be the new elongation if the same force is applied? (2019)
A.
L/4
B.
L/2
C.
L
D.
2L
Solution
Elongation is inversely proportional to the area. Doubling the diameter increases the area by a factor of 4, thus elongation becomes L/4.
Q. If the diameter of a wire is halved while keeping the length constant, what happens to its tensile strength? (2019)
A.
It doubles
B.
It halves
C.
It quadruples
D.
It remains the same
Solution
Tensile strength is inversely proportional to the cross-sectional area. Halving the diameter reduces the area to a quarter, thus tensile strength quadruples.
Properties of Matter - Mechanical Properties of Solids MCQ & Objective Questions
The study of "Properties of Matter - Mechanical Properties of Solids" is crucial for students preparing for school and competitive exams in India. Understanding these concepts not only enhances your grasp of physics but also significantly boosts your performance in exams. Practicing MCQs and objective questions related to this topic helps in identifying important questions and reinforces your learning, making it easier to score better.
What You Will Practise Here
Definitions and characteristics of mechanical properties of solids
Key concepts such as elasticity, plasticity, and brittleness
Formulas related to stress, strain, and Young's modulus
Diagrams illustrating stress-strain curves and their significance
Applications of mechanical properties in real-world scenarios
Comparison of different materials based on their mechanical properties
Important Properties of Matter - Mechanical Properties of Solids MCQ questions for practice
Exam Relevance
This topic is frequently featured in CBSE, State Boards, NEET, and JEE exams. Students can expect questions that assess their understanding of fundamental concepts, numerical problems involving formulas, and application-based scenarios. Common question patterns include direct MCQs, fill-in-the-blanks, and conceptual explanations, making it essential to be well-prepared with practice questions.
Common Mistakes Students Make
Confusing stress with strain and their respective units
Overlooking the significance of the elastic limit in materials
Misinterpreting the stress-strain curve and its different regions
Neglecting to apply the correct formula in numerical problems
Failing to relate mechanical properties to practical applications
FAQs
Question: What is Young's modulus? Answer: Young's modulus is a measure of the stiffness of a solid material, defined as the ratio of stress to strain in the linear elastic region of the stress-strain curve.
Question: How do mechanical properties affect material selection? Answer: Mechanical properties determine how materials respond to forces, which is crucial for selecting the right material for specific applications in engineering and construction.
Now is the time to enhance your understanding of "Properties of Matter - Mechanical Properties of Solids". Dive into our practice MCQs and test your knowledge to ensure you are well-prepared for your exams!
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