Copper of fixed volume \(V\) is drawn into a wire of length \(l.\) When this wire is subjected to a constant force \(F,\) the extension produced in the wire is \(\Delta l.\) Which of the following graphs is a straight line?
1. \(\Delta l ~\text{vs}~\frac{1}{l}\)
2. \(\Delta l ~\text{vs}~l^2\)
3. \(\Delta l ~\text{vs}~\frac{1}{l^2}\)
4. \(\Delta l ~\text{vs}~l\)

Subtopic:  Young's modulus |
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If the ratio of diameters, lengths and Young's modulus of steel and copper wires shown in the figure are \(p,\) \(q\) and \(s\) respectively, then the corresponding ratio of increase in their lengths would be:
          
1. \(\frac{5 q}{\left(7 \mathrm{sp}^2\right)} \) 2. \(\frac{7 q}{\left(5 sp^2\right)} \)
3. \(\frac{2 q}{(5 s p)} \) 4. \(\frac{7 q}{(5 s p)}\)
Subtopic:  Young's modulus |
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