Physics · JEE

Young's modulus, bulk modulus and modulus of rigidity Concepts for JEE

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Quick answer

Master Young's modulus, bulk modulus and modulus of rigidity by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Young's modulus, bulk modulus and modulus of rigidity before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Young's modulus, bulk modulus and modulus of rigidity is a core JEE Main Physics subtopic under Properties of Solids and Liquids. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

Understand the definition and scope of Young's modulus, bulk modulus and modulus of rigidity in the JEE syllabus
Memorise key formulas and standard results linked to Young's modulus, bulk modulus and modulus of rigidity
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Young's modulus, bulk modulus and modulus of rigidity with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Young's modulus, bulk modulus and modulus of rigidity and reattempt after 48 hours

Common trap

Students often rush Young's modulus, bulk modulus and modulus of rigidity questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Properties of Solids and Liquids in JEE Main Physics.

Free sample questions

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Q1PhysicsUnit 7: Properties of Solids and Liquids

Steel wire of length '

L

' at

40^{\circ} \mathrm{C}

is suspended from the ceiling and then a mass '

m^{\prime}

is hung from its free end. The wire is cooled down from

40^{\circ} C

30^{\circ} C

to regain its original length

^{\prime} L^{\prime} .

The coefficient of linear thermal expansion of the steel is

10^{-5} /^{\circ} C,

Young's modulus of steel is

10^{11} N / m^{2}

and radius of the wire is

1 \mathrm{mm}

. Assume that

L>>

diameter of the wire. Then the value of '

m

' in kg is nearly

Q2PhysicsUnit 7: Properties of Solids and Liquids

\boldsymbol{Y}, \boldsymbol{k}, \boldsymbol{n}

represent respectively the young's modulus,bulk modulus and rigidity modulus of a body. If rigidity modulus is twice the bulk modulus, then:

Q3PhysicsUnit 7: Properties of Solids and Liquids

(i) For a Searle's experiment, in the graph shown, there are two readings a and b that are not lying on the straight line (ii) Experiment is not performed precisely

Q4PhysicsUnit 7: Properties of Solids and Liquids

5 \mathrm{m}

long aluminium wire

(\boldsymbol{Y}=\mathbf{7} \times

\left.10^{10} N m^{-2}\right)

of diameter

3 \mathrm{mm}

supports a

40 \mathrm{kg}

mass. In order to have the same elongation in the copper wire

(\boldsymbol{Y}=

\left.12 \times 10^{10} N m^{-2}\right)

of the same length under the same weight, the diameter should now be (in

\mathrm{mm}

Q5PhysicsUnit 7: Properties of Solids and Liquids

Speed of sound waves in fluid is

Q6PhysicsUnit 7: Properties of Solids and Liquids

The radii and Young's moduli of two uniform wires

A

and

B

are in the ratio 2: 1 and 1: 2 respectively. Both wires are subjected to the same longitudinal force. If the increase in length of the wire

A

is one percent, the percentage increase in length of the wire

B

is:

Q7PhysicsUnit 7: Properties of Solids and Liquids

If Young modulus is three times of modulus of rigidity, then Poisson ratio is equal to:

Q8PhysicsUnit 7: Properties of Solids and Liquids

A metal cube of side

10 \mathrm{cm}

is subjected to a shearing stress of

10^{4} N m^{-2}

. The modulus of rigidity if the top of the cube is displaced by

0.05 \mathrm{cm}

with respect to its bottom is

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Frequently asked questions

What concepts in Young's modulus, bulk modulus and modulus of rigidity are essential for JEE?

Focus on core ideas across Young's modulus, bulk modulus and modulus of rigidity. JEE tests application, not just memorisation.