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41.

'Young's modulus' is defined as the ratio of

2L and d/2

We know that,

$R = \frac{ρl}{A} = \frac{ρl}{{πr}^{2}} = \frac{ρl}{{πr}^{2}}$

If the length of wire increases, then the radius of wire decreases.

To get the maximum resistance the suitable length and diameter are 2L and $\frac{d}{2}$ .

43.

The load versus elongation graph for four wires of the same materials is shown in the figure. The thinnest wire is represented by the line