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The graph in Fig. 11.8 shows the variati...

The graph in Fig. 11.8 shows the variation of elongation with tensile force for two wires P and Q.

If P and Q are of the same material and have the same length, which one has a greater area of cross section ?

Text Solution

Verified by Experts

In the stress versus strain graph, Young.s modulus is given by the slope of the linear region.
E and L are same.
`E=((F//A))/((DeltaL//L))` or `(F/A)=E((DeltaL)/(L))`
`:.(F)/(A)propDeltaL` since E and L are same.
For a given F, `A prop(1)/(DeltaL)`
From Fig. 11.8, for any given F, we see that
`(DeltaL)_(Q)gt(DeltaL)_(P)`
`:.A_(Q)ltA_(P)rArr` Wire P has a greater cross section.
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