MECHANICAL PROPERTIES OF SOLIDS-Objective Questions for Entrance Exams

The chapter Mechanical Properties of Solids plays a decisive role in shaping a student’s understanding of how materials respond to applied forces. Competitive examinations frequently test this chapter not just through numericals, but through concept-driven objective questions that probe clarity of definitions, physical interpretation, graphical understanding, and real-life applications of elasticity. This carefully curated set of multiple-choice questions has been designed by closely analysing trends from IIT-JEE (Main & Advanced), NEET/AIPMT, BITSAT, KVPY, Olympiads, and other major entrance examinations. Each question focuses on a single, well-defined concept such as stress, strain, elastic constants, Hooke’s law, stress–strain curves, bulk modulus, rigidity modulus, Poisson’s ratio, elastic energy, fatigue, hysteresis, and material behaviour under load. The MCQs progress logically from fundamental definitions to higher-order conceptual reasoning, mirroring the difficulty levels seen in real examinations. Detailed explanations accompany every correct answer to ensure that students do not merely memorise facts, but develop the ability to eliminate options, apply physical reasoning, and avoid common traps. This MCQ set is ideal for quick revision, self-assessment, and exam conditioning, helping learners build speed, accuracy, and confidence while mastering one of the most scoring chapters of Class XI Physics.

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📚 PYQ Question Bank

Actual questions from IIT-JEE, NEET, AIIMS, BITSAT & KVPY — filter by exam, attempt each option, then reveal the detailed answer.

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Q1
The dimensional formula of Young’s modulus is
(Exam: IIT-JEE Year: 1998)
(A) [ML^1T^2]  
(B) [ML^1T^1]  
(C) [MLT^²]  
(D) Dimensionless
✅ Correct: (A)
Q2
Strain has no unit because it is
(Exam: AIPMT / NEET Year: 2003)
(A) Force per unit area
(B) Ratio of two lengths
(C) Energy per unit volume
(D) Pressure × volume
✅ Correct: (B)
Q3
Hooke’s law is valid up to
(Exam: JEE Main Year: 2014)
(A) Elastic limit
(B) Proportional limit
(C) Yield point
(D) Breaking point
✅ Correct: (B)
Q4
Which material has the highest Young’s modulus?
(Exam: AIPMT / NEET Year: 2010)
(A) Rubber
(B) Glass
(C) Steel
(D) Aluminium
✅ Correct: (C)
Q5
Bulk modulus is defined as
(Exam: JEE Main Year: 2016)
(A) Stress / strain
(B) Pressure / volumetric strain
(C) Shear stress / shear strain
(D) Force / area
✅ Correct: (B)
Q6
The unit of bulk modulus is
(Exam: BITSAT Year: 2011)
(A) Joule
(B) Pascal
(C) Newton
(D) Watt
✅ Correct: (B)
Q7
Poisson’s ratio for an incompressible material is -
(Exam: IIT-JEE Year: 2001)
(A) 0
(B) 0.25
(C) 0.5
(D) 1
✅ Correct: (C)
Q8
Which of the following is dimensionless?
(Exam: NEET Year: 2018)
(A) Stress
(B) Strain
(C) Young’s modulus
(D) Bulk modulus
✅ Correct: (B)
Q9
A perfectly elastic body obeys Hooke’s law -
(Exam: JEE Main Year: 2019)
(A) Always
(B) Never
(C) Up to elastic limit
(D) Up to fracture point
✅ Correct: (C)
Q10
The area under the stress–strain curve represents -
(Exam: IIT-JEE Year: 2005)
(A) Young’s modulus
(B) Strain energy per unit volume
(C) Stress
(D) Resilience
✅ Correct: (B)
Q11
Which material shows maximum elastic hysteresis? -
(Exam: IIT-JEE Year: 1996)
(A) Steel
(B) Glass
(C) Rubber
(D) Copper
✅ Correct: (C)
Q12
The slope of stress–strain curve in elastic region gives -
(Exam: JEE Main Year: 2013)
(A) Rigidity modulus
(B) Bulk modulus
(C) Young’s modulus
(D) Poisson’s ratio
✅ Correct: (C)

Frequently Asked Questions

Mechanical properties describe how solids respond to applied forces, such as stretching, compressing, bending, or twisting.

Elasticity is the property of a material by which it regains its original shape and size after removal of the deforming force.

Elastic limit is the maximum stress up to which a material returns completely to its original dimensions when the force is removed.

Stress is the internal restoring force per unit area developed inside a material when an external force is applied.

Strain is the fractional change in dimension (length, volume, or shape) produced due to stress.

Stress = Force / Area

Strain = Change in dimension / Original dimension

Hooke’s law states that stress is directly proportional to strain within the elastic limit of a material.

Young’s modulus is the ratio of longitudinal stress to longitudinal strain.

Y = (Longitudinal stress) / (Longitudinal strain)

It indicates that the material is stiff and undergoes very little deformation under stress.

Bulk modulus is the ratio of volume stress to volume strain.

K = -?P / (?V / V)

Because an increase in pressure causes a decrease in volume.

Shear modulus is the ratio of shear stress to shear strain.

MECHANICAL PROPERTIES OF SOLIDS – Learning Resources

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