NCERT · Physics · Ch.10

Thermal Properties of Matter
MCQ MASTER SERIES

Thermal Expansion · Calorimetry · Heat Transfer

⚡ Start Quiz 📊 Analytics
50
Total Questions
35 min
Suggested Time
3
Difficulty Tiers
7
Core Topics
Question Intelligence

Quiz Analytics

A data-driven breakdown of all 50 questions by difficulty, exam origin and topic distribution.

📈 Distribution Overview

50
Total Questions
CBSE Level
26
NEET / BITSAT Level
15
JEE Advanced Level
9

🗂 Topic Coverage

Linear / Surface / Volume Expansion
28%
Thermal Stress & Strain
16%
Expansion of Liquids
14%
Bimetallic Strip & Applications
12%
Engineering Applications
14%
Coefficient & Units
8%
Density Change on Heating
8%
26
CBSE Level
15
NEET / BITSAT Level
9
JEE Advanced Level
Conceptual Framework

Key Concept Highlights

6 foundational pillars that power every question in this quiz. Understand these, and the answers follow naturally.

📏
Linear Expansion
When temperature changes, solids change length according to ΔL = αLΔT. This is fundamental to most expansion problems.
⬜
Superficial & Volume Expansion
Area and volume change with temperature. For isotropic solids β ≈ 2α and γ ≈ 3α.
⚙️
Thermal Stress
If expansion is prevented, stress develops. Thermal stress = YαΔT where Y is Young’s modulus.
💧
Expansion of Liquids
Liquids show real and apparent expansion depending on container expansion.
🔧
Engineering Applications
Railway gaps, bridge joints and bimetallic strips use thermal expansion principles.
📉
Density Change
On heating most solids expand, causing density to decrease.
Pedagogical Value

Why MCQs Matter

Multiple-choice questions are not mere guessing games — they are the sharpest diagnostic tool available to a competitive exam aspirant.

🎯

Precision Recall

Vague understanding doesn't survive MCQs — they force exact conceptual clarity.

⚡

Exam Format Mirror

Direct simulation of CBSE Board objective sections and JEE Main Paper 1 structure.

📊

Exam Weight

~18%

of JEE Main Physics marks from Thermal Properties & Heat Transfer

Quick Reference

Important Formula Capsules

8 must-memorise equations that surface repeatedly across CBSE and JEE papers.

Linear Expansion
\[ \Delta L = \alpha L_0 \Delta T \]
Superficial Expansion
\[ \beta = 2\alpha \]
Volume Expansion
\[ \gamma = 3\alpha \]
Thermal Strain
\[ \text{Strain} = \alpha \Delta T \]
Thermal Stress
\[ \sigma = Y\alpha \Delta T \]
Density Change
\[ \rho = \dfrac{m}{V} \]
Apparent Expansion
\[ \gamma_a = \gamma_l - \gamma_c \]
Volume Change
\[ \Delta V = \gamma V_0 \Delta T \]
Learning Outcomes

What You Will Learn

By completing this quiz set you will have exercised all the following competencies.

01 Apply linear expansion formula to rods, wires and rails
02 Derive relationships between α, β and γ for isotropic solids
03 Solve problems involving thermal stress and constrained expansion
04 Distinguish between real and apparent expansion of liquids
05 Understand applications like bimetallic strips and expansion joints
06 Predict density changes due to temperature variation
07 Solve conceptual JEE/NEET MCQs on thermal expansion
Exam Preparation

Strategy & Preparation Tips

5 evidence-based strategies to maximise your score in CBSE Boards and JEE.

Step 01
Remember Key Relations
Memorise β = 2α and γ = 3α — these appear frequently in MCQs.
Step 02
Focus on Engineering Examples
Questions about railway tracks, bridge joints and metal holes are common.
Step 03
Thermal Stress Formula
Thermal stress questions require σ = YαΔT when expansion is prevented.
Step 04
Liquid Expansion Trap
Always distinguish between real expansion and apparent expansion in liquids.
Step 05
Practice Conceptual MCQs
Most entrance exams ask conceptual questions rather than lengthy numericals.

Ready to Test Your Mastery?

50 questions  ·  Elapsed timer  ·  Instant scored results

⚡ Begin Thermal Properties of Matter Quiz
Score 0 / 50
⏱ 00:00
Q1
Two rods of same material but lengths \(L\) and \(2L\) are heated through the same temperature rise. The ratio of increase in length is
(Exam:Year: 1998)
(A) \(1:1\)
(B) \(1:2\)
(C) \(2:1\)
(D) \(1:4\)
Q2
The unit of coefficient of linear expansion is
(Exam: Year: 2016)
(A) K
(B) \(K^{-1}\)
(C) m/K
(D) dimensionless
Q3
A metal sphere fits exactly in a ring at \(20^\circ\)C. On heating both, the sphere will
(Exam:Year: 2009)
(A) fall out
(B) not pass
(C) crack the ring
(D) remain just fitted
Q4
If the temperature of a body increases by \(1^\circ\)C, its volume increases by \(1\%\). The coefficient of volume expansion is
(Exam: Year: 2014)
(A) \(0.01\)
(B) \(0.1\)
(C) \(1\)
(D) \(10^{-2}\,^\circ\text{C}^{-1}\)
Q5
For an isotropic solid, relation between \(\alpha\) and \(\beta\) is
(Exam:Year: 2012)
(A) \(\beta=\alpha\)
(B) \(\beta=2\alpha\)
(C) \(\beta=3\alpha\)
(D) \(\beta=\alpha/3\)
Q6
The apparent expansion of a liquid is due to
(Exam: State Engineering Year: 2010)
(A) expansion of liquid only
(B) expansion of container only
(C) difference of real expansions
(D) contraction of container
Q7
A steel rail is laid at \(10^\circ\)C. At \(50^\circ\)C\), it buckles because
(Exam: IIT-JEE Year: 2001)
(A) mass increases
(B) density decreases
(C) thermal stress develops
(D) length decreases
Q8
Thermal stress developed when expansion is prevented is
(Exam: NEET Year: 2019)
(A) \(Y\alpha\Delta T\)
(B) \(\alpha\Delta T/Y\)
(C) \(Y/(\alpha\Delta T)\)
(D) zero
Q9
The coefficient of superficial expansion of a solid is approximately
(Exam: IIT-JEE Year: 1996)
(A) \(\alpha\)
(B) \(2\alpha\)
(C) \(3\alpha\)
(D) \(\alpha/2\)
Q10
Which material shows maximum thermal expansion?
(Exam: NEET Year: 2015)
(A) Steel
(B) Copper
(C) Aluminium
(D) Invar
Q11
Invar is used in pendulum rods because
(Exam: IIT-JEE Year: 1999)
(A) high density
(B) low conductivity
(C) very small \(\alpha\)
(D) high elasticity
Q12
A bimetallic strip bends on heating due to
(Exam: Olympiad Year: 2013)
(A) unequal masses
(B) unequal lengths
(C) different expansion coefficients
(D) unequal densities
Q13
Which of the following has maximum thermal stress for same \(\Delta T\)?
(Exam: BITSAT Year: 2011)
(A) Rubber
(B) Steel
(C) Glass
(D) Lead
Q14
The real expansion of a liquid is measured by
(Exam: AIIMS Year: 2008)
(A) ignoring container expansion
(B) subtracting container expansion
(C) adding container expansion
(D) measuring apparent expansion
Q15
A hole in a metal plate when heated
(Exam: IIT-JEE Year: 1985)
(A) shrinks
(B) remains same
(C) expands
(D) collapses
Q16
Coefficient of linear expansion depends on
(Exam: NEET Year: 2020)
(A) length only
(B) temperature range
(C) material nature
(D) shape
Q17
When temperature is doubled, \(\alpha\)
(Exam: State Engineering Year: 2012)
(A) doubles
(B) halves
(C) remains nearly same
(D) becomes zero
Q18
Thermal strain is
(Exam: IIT-JEE Year: 2000)
(A) \(\alpha\Delta T\)
(B) \(Y\alpha\Delta T\)
(C) \(\Delta T/\alpha\)
(D) zero
Q19
Which does not change on heating?
(Exam: NEET Year: 2013)
(A) mass
(B) length
(C) area
(D) volume
Q20
If \(\alpha_1>\alpha_2\) in a bimetallic strip, it bends towards
(Exam: Olympiad Year: 2011)
(A) metal 1
(B) metal 2
(C) middle
(D) randomly
Q21
Unit of thermal stress is
(Exam: IIT-JEE Year: 1994)
(A) J
(B) N
(C) Pa
(D) K
Q22
Apparent expansion of mercury in glass is
(Exam: AIIMS Year: 2007)
(A) more than real
(B) less than real
(C) equal to real
(D) zero
Q23
Linear expansion is negligible for
(Exam: NEET Year: 2018)
(A) solids
(B) liquids
(C) gases
(D) plasma
Q24
A wire fixed at both ends is heated. It develops
(Exam: IIT-JEE Year: 2003)
(A) tensile stress
(B) compressive stress
(C) shear stress
(D) no stress
Q25
The coefficient of volume expansion of water at \(4^\circ\)C is
(Exam: NEET Year: 2017)
(A) maximum
(B) minimum
(C) zero
(D) negative infinity
Q26
If a cube expands uniformly, fractional change in volume equals
(Exam: IIT-JEE Year: 1992)
(A) \(\alpha\Delta T\)
(B) \(2\alpha\Delta T\)
(C) \(3\alpha\Delta T\)
(D) \(\alpha/3\)
Q27
Which is true for thermal expansion?
(Exam: BITSAT Year: 2010)
(A) always linear
(B) independent of temperature
(C) depends on temperature range
(D) zero for solids
Q28
Railway tracks have gaps to
(Exam: NEET Year: 2014)
(A) reduce friction
(B) save material
(C) avoid buckling
(D) increase strength
Q29
The apparent coefficient of expansion of liquid is
(Exam: State Engineering Year: 2015)
(A) \(\beta_l\)
(B) \(\beta_l-\beta_c\)
(C) \(\beta_l+\beta_c\)
(D) \(\beta_c\)
Q30
Which has least thermal expansion?
(Exam: IIT-JEE Year: 1997)
(A) Aluminium
(B) Copper
(C) Steel
(D) Invar
Q31
Stress produced due to temperature change depends on
(Exam: NEET Year: 2021)
(A) mass
(B) shape
(C) Young’s modulus
(D) volume
Q32
Heating a solid uniformly causes
(Exam: Olympiad Year: 2014)
(A) only length change
(B) only volume change
(C) shape change
(D) no shape change
Q33
The ratio of superficial to linear expansion coefficients is
(Exam: IIT-JEE Year: 1988)
(A) 1
(B) 2
(C) 3
(D) 1/2
Q34
A liquid is heated in a vessel of same material. Apparent expansion is
(Exam: NEET Year: 2012)
(A) zero
(B) real
(C) negative
(D) less than real
Q35
Thermal expansion is minimum in
(Exam: AIIMS Year: 2010)
(A) solids
(B) liquids
(C) gases
(D) vapours
Q36
Coefficient of linear expansion is independent of
(Exam: IIT-JEE Year: 1991)
(A) temperature
(B) material
(C) initial length
(D) pressure
Q37
On heating, density of a solid
(Exam: NEET Year: 2016)
(A) increases
(B) decreases
(C) remains same
(D) becomes zero
Q38
The expansion joint in bridges is provided due to
(Exam: State Engineering Year: 2018)
(A) vibration
(B) corrosion
(C) thermal expansion
(D) elasticity
Q39
Which expands most per degree rise?
(Exam: BITSAT Year: 2013)
(A) solid
(B) liquid
(C) gas
(D) all equal
Q40
A rod free to expand has no thermal stress because
(Exam: IIT-JEE Year: 2005)
(A) no expansion
(B) no force developed
(C) \(\alpha=0\)
(D) \(Y=0\)
Q41
Thermal expansion is an example of
(Exam: NEET Year: 2011)
(A) elastic deformation
(B) plastic deformation
(C) fracture
(D) creep
Q42
Which graph represents linear expansion?
(Exam: Olympiad Year: 2015)
(A) \(\Delta L\) vs \(T\) straight line
(B) curved
(C) exponential
(D) random
Q43
A glass tumbler cracks when hot water is poured because
(Exam: AIIMS Year: 2006)
(A) uniform expansion
(B) non-uniform expansion
(C) contraction
(D) pressure increase
Q44
Which is dimensionless?
(Exam: IIT-JEE Year: 1989)
(A) \(\alpha\)
(B) \(\beta\)
(C) thermal strain
(D) thermal stress
Q45
A cube has side \(a\). Increase in side on heating by \(\Delta T\) is
(Exam: NEET Year: 2019)
(A) \(\alpha a\Delta T\)
(B) \(3\alpha a\Delta T\)
(C) \(\beta a\Delta T\)
(D) \(2\alpha a\Delta T\)
Q46
The phenomenon of bending of a thermostat is due to
(Exam: BITSAT Year: 2012)
(A) elasticity
(B) thermal stress
(C) bimetallic expansion
(D) conduction
Q47
Real expansion of a liquid is always
(Exam: NEET Year: 2010)
(A) less than apparent
(B) equal to apparent
(C) greater than apparent
(D) zero
Q48
Thermal expansion coefficient is maximum for
(Exam: IIT-JEE Year: 1993)
(A) diamond
(B) iron
(C) aluminium
(D) invar
Q49
If temperature change is zero, thermal stress is
(Exam: State Engineering Year: 2016)
(A) maximum
(B) minimum
(C) zero
(D) infinite
Q50
Expansion of solids on heating is due to
(Exam: Olympiad Year: 2016)
(A) increase in atomic size
(B) decrease in binding force
(C) increase in mean separation
(D) change in mass

Warning: Undefined variable $chapterSlug in /home/u159659565/domains/academia-aeternum.com/public_html/includes/blog_functions.php on line 2878

Warning: Undefined variable $contentType in /home/u159659565/domains/academia-aeternum.com/public_html/includes/blog_functions.php on line 2878

Fatal error: Uncaught TypeError: render_share_chapter(): Argument #3 ($chapterSlug) must be of type string, null given, called in /home/u159659565/domains/academia-aeternum.com/public_html/includes/blog_functions.php on line 2878 and defined in /home/u159659565/domains/academia-aeternum.com/public_html/includes/blog_functions.php:62 Stack trace: #0 /home/u159659565/domains/academia-aeternum.com/public_html/includes/blog_functions.php(2878): render_share_chapter() #1 /home/u159659565/domains/academia-aeternum.com/public_html/class-11/physics/thermal-properties-of-matter/pyqs/index.php(180): mcqs_ent_exam_creations() #2 {main} thrown in /home/u159659565/domains/academia-aeternum.com/public_html/includes/blog_functions.php on line 62