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Question

Two wire A and B have equal lengths and are made of the same material, but the diameter of A is twice that of wire B. Then, for given load


A
The extension of B will be four times that of A
loader
B
the extension of A and B will be equal
loader
C
the strain in B is four times that in A
loader
D
the strains in A and B will be equal
loader

Solution

The correct options are
A The extension of B will be four times that of A
C the strain in B is four times that in A
$$\Delta l=\dfrac { FL }{ AY }$$
Thus, extension is inversely proportional to area, and also Strain=$$\dfrac{\Delta l}{l}$$ is inversely proportional to area. Thus strain in B will be 4 times that in A since diameter of B is half of A, or area of B is one-fourth of A; and similar for extensions.

Physics

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