Young’s modulus of steel is twice that of brass. Two wires of the same length and of the same area of cross-section, one of steel and another of brass, are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of:
1. \(1:2\)
2. \(2:1\)
3. \(4:1\)
4. \(1:1\)

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 'Δl'. Which of the following graph is a straight line?

1. $∆\mathrm{l}$ $\mathrm{vs}$ $\frac{1}{\mathrm{l}}$

2. $∆\mathrm{l}$ $\mathrm{vs}$ ${\mathrm{l}}^2$

3. $∆\mathrm{l}$ $\mathrm{vs}$ $\frac{1}{{\mathrm{l}}^2}$

4. $∆\mathrm{l}$ $\mathrm{vs}$ $\mathrm{l}$

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

1. length = 100 cm, diameter = 1 mm
2. length = 200 cm, diameter = 2 mm
3. length = 300 cm, diameter = 3 mm
4. length = 50 cm, diameter = 0.5 mm