Check statment are True or False : (a) Young’s modulus of rigid body is ..... (b) A wire

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8.Mechanical Properties of Solids

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check the statment are True or False $:$

$(a)$ Young’s modulus of rigid body is .....

$(b)$ A wire increases by $10^{-6}$ times its original length when a stress of
$10^8\,Nm^{-2}$ is applied to it, calculate its Young’s modulus.

$(c)$ The value of Poisson’s ratio for steel is ......

Option A

Option B

Option C

Option D

Solution

$(1)$ Infinite.

There is no strain in rigid body.

$\text { hence Young's modulus } =\frac{\text { stress }}{\text { strain }}=\frac{\text { stress }}{0}$

$=\text { infinite }$

$(2)$ $10^{14} \mathrm{Nm}^{2}$

$\mathrm{Y}=\frac{\text { Stress }}{\frac{\Delta l}{l}}=\frac{10^{8}}{10^{-6}}=10^{14} \mathrm{Nm}^{-2}$

$(3)$ $0.28$ to $0.30$

Standard 11

Physics

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