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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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
Reveal Answer
✅ 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
Reveal Answer
✅ 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
Reveal Answer
✅ Correct: (B)
Q4
Which material has the highest Young’s modulus? (Exam: AIPMT / NEET Year: 2010)
(A) Rubber
(B) Glass
(C) Steel
(D) Aluminium
Reveal Answer
✅ 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
Reveal Answer
✅ Correct: (B)
Q6
The unit of bulk modulus is (Exam: BITSAT Year: 2011)
(A) Joule
(B) Pascal
(C) Newton
(D) Watt
Reveal Answer
✅ 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
Reveal Answer
✅ Correct: (C)
Q8
Which of the following is dimensionless? (Exam: NEET Year: 2018)
(A) Stress
(B) Strain
(C) Young’s modulus
(D) Bulk modulus
Reveal Answer
✅ 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
Reveal Answer
✅ 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
Reveal Answer
✅ Correct: (B)
Q11
Which material shows maximum elastic hysteresis? -(Exam: IIT-JEE Year: 1996)
(A) Steel
(B) Glass
(C) Rubber
(D) Copper
Reveal Answer
✅ 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
Reveal Answer
✅ Correct: (C)
Q13
A wire stretches most when its (Exam: AIPMT Year: 2007)
(A) Length is maximum
(B) Area is maximum
(C) Young’s modulus is maximum
(D) Load is minimum
Reveal Answer
✅ Correct: (A)
Q14
Bulk modulus of water is very high because (Exam: NEET Year: 2020)
(A) Water is heavy
(B) Molecules are loosely packed
(C) Water is nearly incompressible
(D) Density is low
Reveal Answer
✅ Correct: (C)
Q15
Breaking stress depends on (Exam: IIT-JEE Year: 2004)
(A) Length of wire
(B) Area of cross-section
(C) Nature of material
(D) Shape of wire
Reveal Answer
✅ Correct: (C)
Q16
Stress is a -(Exam: JEE Advanced Year: 2017)
(A) Scalar quantity
(B) Vector quantity
(C) Tensor quantity
(D) Dimensionless quantity
Reveal Answer
✅ Correct: (C)
Q17
The unit of strain energy is (Exam: BITSAT Year: 2012)
(A) Joule
(B) Newton
(C) Pascal
(D) Metre
Reveal Answer
✅ Correct: (A)
Q18
Which curve corresponds to a brittle material? -(Exam: NEET Year: 2016)
(A) Long plastic region
(B) Large elongation
(C) Sudden fracture
(D) Neck formation
Reveal Answer
✅ Correct: (C)
Q19
Yield point is well defined in (Exam: IIT-JEE Year: 1999)
(A) Copper
(B) Aluminium
(C) Mild steel
(D) Glass
Reveal Answer
✅ Correct: (C)
Q20
Elastic limit is the point beyond which (Exam: JEE Main Year: 2015)
(A) Stress vanishes
(B) Strain increases linearly
(C) Permanent deformation occurs
(D) Material breaks
Reveal Answer
✅ Correct: (C)
Q21
Rigidity modulus relates to (Exam: AIPMT Year: 2008)
(A) Change in length
(B) Change in volume
(C) Change in shape
(D) Change in mass
Reveal Answer
✅ Correct: (C)
Q22
Which has maximum bulk modulus? (Exam: NEET Year: 2021)
(A) Gas
(B) Liquid
(C) Solid
(D) Plasma
Reveal Answer
✅ Correct: (C)
Q23
Stress–strain curve beyond elastic limit is (Exam: JEE Main Year: 2014)
(A) Linear
(B) Non-linear
(C) Vertical
(D) Horizontal
Reveal Answer
✅ Correct: (B)
Q24
Young’s modulus is maximum for (Exam: IIT-JEE Year: 1995)
(A) Rubber
(B) Steel
(C) Aluminium
(D) Lead
Reveal Answer
✅ Correct: (B)
Q25
Elastic potential energy stored in a wire is proportional to (Exam: JEE Main Year: 2017)
(A) Extension
(B) Square of extension
(C) Load
(D) Length
Reveal Answer
✅ Correct: (B)
Q26
Which material is most ductile? (Exam: AIPMT Year: 2006)
(A) Glass
(B) Rubber
(C) Steel
(D) Copper
Reveal Answer
✅ Correct: (D)
Q27
Poisson’s ratio lies between (Exam: IIT-JEE Year: 2002)
(A) 0 and 1
(B) -1 and 1
(C) 0 and 0.5
(D) 0.5 and 1
Reveal Answer
✅ Correct: (C)
Q28
Stress–strain curve is steepest for (Exam: JEE Main Year: 2018)
(A) Rubber
(B) Copper
(C) Steel
(D) Lead
Reveal Answer
✅ Correct: (C)
Q29
Hydraulic stress produces (Exam: NEET Year: 2019)
(A) Change in length
(B) Change in shape
(C) Change in volume
(D) Change in mass
Reveal Answer
✅ Correct: (C)
Q30
Safety factor is defined as (Exam: JEE Main Year: 2019)
(A) Breaking stress / working stress
(B) Working stress / breaking stress
(C) Load / area
(D) Stress × strain
Reveal Answer
✅ Correct: (A)
Q31
Elastic fatigue occurs due to (Exam: JEE Main Year: 2016)
(A) Single heavy load
(B) Repeated loading and unloading
(C) High temperature
(D) Chemical corrosion
Reveal Answer
✅ Correct: (B)
Q32
Young’s modulus depends on (Exam: NEET Year: 2015)
(A) Length of the wire
(B) Cross-sectional area
(C) Nature of material
(D) Applied load
Reveal Answer
✅ Correct: (C)
Q33
The unit of stress is the same as that of (Exam: BITSAT Year: 2013)
(A) Energy
(B) Pressure
(C) Power
(D) Momentum
Reveal Answer
✅ Correct: (B)
Q34
Volume strain is produced by (Exam: AIPMT Year: 2009)
(A) Tensile stress only
(B) Shear stress only
(C) Hydraulic stress
(D) Bending stress
Reveal Answer
✅ Correct: (C)
Q35
The area under the elastic portion of the stress–strain curve represents (Exam: IIT-JEE Year: 2000)
(A) Breaking energy
(B) Modulus of resilience
(C) Plastic work
(D) Yield energy
Reveal Answer
✅ Correct: (B)
Q36
Which of the following is nearly incompressible? (Exam: NEET Year: 2017)
(A) Rubber
(B) Glass
(C) Steel
(D) Water
Reveal Answer
✅ Correct: (D)
Q37
Strain energy per unit volume of a material is called (Exam: JEE Main Year: 2020)
(A) Toughness
(B) Resilience
(C) Elasticity
(D) Stress
Reveal Answer
✅ Correct: (B)
Q38
The breaking point on a stress–strain curve corresponds to (Exam: IIT-JEE Year: 2003)
(A) Maximum stress
(B) Maximum strain
(C) Zero strain
(D) Zero stress
Reveal Answer
✅ Correct: (A)
Q39
A material is said to be ductile if it shows (Exam: NEET Year: 2018)
(A) Sudden fracture
(B) No plastic deformation
(C) Long plastic region
(D) Perfect elasticity
Reveal Answer
✅ Correct: (C)
Q40
Modulus of rigidity is also known as (Exam: JEE Main Year: 2012)
(A) Young’s modulus
(B) Bulk modulus
(C) Shear modulus
(D) Elastic modulus
Reveal Answer
✅ Correct: (C)
Q41
Elastic after-effect refers to (Exam: IIT-JEE Year: 1994)
(A) Permanent deformation
(B) Delayed recovery of shape
(C) Immediate recovery
(D) Fracture after unloading
Reveal Answer
✅ Correct: (B)
Q42
Which material shows maximum plasticity? (Exam: AIPMT Year: 2004)
(A) Glass
(B) Rubber
(C) Copper
(D) Steel
Reveal Answer
✅ Correct: (C)
Q43
Young’s modulus is numerically equal to (Exam: JEE Main Year: 2011)
(A) Stress required to produce unit strain
(B) Strain produced by unit stress
(C) Stress multiplied by strain
(D) Ratio of force to extension
Reveal Answer
✅ Correct: (A)
Q44
The restoring force in a stretched wire arises due to (Exam: IIT-JEE Year: 1996)
(A) Gravitational attraction
(B) Magnetic interaction
(C) Interatomic forces
(D) Electric forces
Reveal Answer
✅ Correct: (C)
Q45
Elastic deformation is (Exam: NEET Year: 2014)
(A) Permanent
(B) Reversible
(C) Irreversible
(D) Plastic
Reveal Answer
✅ Correct: (B)
Q46
A material with higher stiffness will have (Exam: JEE Advanced Year: 2018)
(A) Smaller slope of stress–strain curve
(B) Larger slope of stress–strain curve
(C) Larger breaking strain
(D) Smaller breaking stress
Reveal Answer
✅ Correct: (B)
Q47
The bulk modulus of air is minimum during (Exam: IIT-JEE Year: 2006)
(A) Isothermal process
(B) Adiabatic process
(C) Isochoric process
(D) Isobaric process
Reveal Answer
✅ Correct: (A)
Q48
Factor of safety is defined as (Exam: JEE Main Year: 2019)
(A) Breaking stress / working stress
(B) Working stress / breaking stress
(C) Load / area
(D) Stress × strain
Reveal Answer
✅ Correct: (A)
Q49
Metals show elasticity mainly due to (Exam: NEET Year: 2022)
(A) Large atomic size
(B) Strong interatomic forces
(C) Weak bonding
(D) High density
Reveal Answer
✅ Correct: (B)
Q50
The stress–strain curve of rubber shows (Exam: IIT-JEE Year: 1995)
(A) Linear behaviour
(B) Perfect elasticity
(C) Non-linear behaviour
(D) Brittle fracture
Reveal Answer
✅ 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.
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.
Because an increase in pressure causes a decrease in volume.
Shear modulus is the ratio of shear stress to shear strain.