Physics · JEE

Important Questions: Young's modulus, bulk modulus and modulus of rigidity for JEE

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The most important Young's modulus, bulk modulus and modulus of rigidity questions for JEE cover conceptual traps, standard results, and numerical patterns from Young's modulus, bulk modulus and modulus of rigidity. Goodmarks provides 9+ high-yield MCQs with full solutions.

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

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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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Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

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Key areas include Young's modulus, bulk modulus and modulus of rigidity. Prioritise these before moving to edge cases.

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