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

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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