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Easy Young's modulus, bulk modulus and modulus of rigidity MCQs for JEE

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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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