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Two wires A and B of same length are mad...

Two wires `A` and `B` of same length are made of same material . The figure represents the load `F` versus extension `Deltax` graph for the wires. Then

A

(A) The cross sectional area of `A` is greater than that of `B`

B

(B) The elasticity of `B` is greater than that of `A`

C

(C) The cross-sectional area of ` B` is greater than that of `A`

D

(D) The elasticity of `A` is greater than that of `B`

Text Solution

Verified by Experts

The correct Answer is:
C
`Deltax = (Fl)/(AY)`
`:. F = ((AY)/(L))Deltax`
i.e `F` versus `Deltax` graph is a straight line of slope `(YA)/(L)`.
`("slope")_(B) gt ("slope" )_(A)`
`:. ((YA)/(L))_(B)gt ((YA)/(L))_(A)`
or ` (A)_(B) gt (A)_(A) `
They are of same material . Hence,
`Y _(B) = Y_(A) `
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