$(C)$ According to Hooke's Law, within the limit of proportionality, stress is directly proportional to strain. Thus, $(a)$ matches with $(ii)$.When t

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$(C)$ According to Hooke's Law, within the limit of proportionality, stress is directly proportional to strain. Thus, $(a)$ matches with $(ii)$.When the load on a wire is removed, if the body regains its original dimension, it means the material has been deformed within its elastic limit. Thus, $(b)$ matches with $(i)$.Therefore, the correct matching is $(a-ii), (b-i)$.

Class 11 Physics Mechanical Properties of Solids Basic of Elasticity, Stress and Strain relationship and Graphical analysis

Easy

Match the details of Column-$II$ with the given information in Column-$I$ appropriately.
Column-$I$ Column-$II$
$(a)$ Stress is proportional to strain. $(i)$ Elastic limit
$(b)$ When the load on the wire is removed, the body regains its original dimension. $(ii)$ Limit of proportionality
$(iii)$ Plastic deformation

A
$(a-iii), (b-ii)$
B
$(a-i), (b-ii)$
C
$(a-ii), (b-i)$
D
$(a-ii), (b-iii)$

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Mechanical Properties of Solids

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Basic of Elasticity, Stress and Strain relationship and Graphical analysis

When a spiral spring is stretched by suspending a load on it,the strain produced is called

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Two blocks of masses $3 \, kg$ and $5 \, kg$ are connected by a metal wire going over a smooth pulley. The breaking stress of the metal is $\frac{24}{\pi} \times 10^{2} \, Nm^{-2}$. What is the minimum radius of the wire? (Take $g = 10 \, ms^{-2}$) (in $cm$)

DifficultJEE MAIN 2021

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When is the force between atoms attractive? When is it repulsive?

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The length of an elastic string is $a$ metres when the longitudinal tension is $4 \ N$ and $b$ metres when the longitudinal tension is $5 \ N$. The length of the string in metres when the longitudinal tension is $9 \ N$ is

DifficultTS EAMCET 2001

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The elastic limit of a metal is $\frac{400}{\pi} \text{ MPa}$. If a rod of this metal is to support a $484 \text{ N}$ load without exceeding its elastic limit, the minimum diameter of the rod is: (in $\text{ mm}$)

MediumAP EAMCET 2022

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Column-$I$	Column-$II$
$(a)$ Stress is proportional to strain.	$(i)$ Elastic limit
$(b)$ When the load on the wire is removed, the body regains its original dimension.	$(ii)$ Limit of proportionality
	$(iii)$ Plastic deformation

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When a spiral spring is stretched by suspending a load on it,the strain produced is called

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