# A rope $$1$$ cm in diameter breaks if the tension in it exceeds $$500$$ N. The maximum tension that may be given to a similar rope of diameter $$2$$ cm is: 1. $$500$$ N 2. $$250$$ N 3. $$1000$$ N 4. $$2000$$ N

Subtopic: Â Young's modulus |
Â 66%
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The breaking stress of a wire depends on:

 1 material of the wire 2 length of the wire 3 radius of the wire 4 shape of the cross-section
Subtopic: Â Stress - Strain |
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A wire can sustain a weight of $$20$$ kg before breaking. If the wire is cut into two equal parts, each part can sustain a weight of:

 1 $$10$$ kg 2 $$20$$ kg 3 $$40$$ kg 4 $$80$$ kg
Subtopic: Â Stress - Strain |
Â 72%
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Two wires $$A$$ and $$B$$ are made of same material. The wire $$A$$ has a length $$L$$ and diameter $$r$$ while the wire $$B$$ has a length $$2L$$ and diameter $$r/2.$$ If the two wires are stretched by the same force, the elongation in $$A$$ divided by the elongation in $$B$$ is:
1. $$\frac{1}{8}$$
2. $$\frac{1}{4}$$
3. $$4$$
4. $$8$$

Subtopic: Â Young's modulus |
Â 77%
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A wire elongates by $$1.0$$ mm when a load $$W$$ is hang from it. If this wire goes over a pulley and two weights $$W$$ each are hung at the two ends, the elongation of the wire will be:
1. $$0.5$$ m
2. $$1.0$$ mm
3. $$2.0$$ mm
4. $$4.0$$ mm

Subtopic: Â Young's modulus |
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A heavy uniform rod is hanging vertically from a fixed support. It is stretched by its own weight. The diameter of the rod is:

 1 smallest at the top and gradually increases down the rod. 2 largest at the top and gradually decreases down the rod. 3 uniform everywhere. 4 maximum in the middle.
Subtopic: Â Stress - Strain |
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When a metal wire is stretched by a load, the fractional change in its volume $$\frac{\Delta V}{V}$$ is proportional to:

1. $$\frac{\Delta l}{l}$$

2. $$\left(\frac{\Delta l}{l}\right)^{2}$$

3. $$\sqrt{\Delta l/ l}$$

4. none of these

Subtopic: Â Poisson's Ratio |
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The length of a metal wire is $$l_1$$ when the tension in it is $$T_1$$ and is $$l_2$$ when the tension is $$T_2.$$ The natural length of the wire is:
1. $$\frac{l_{1}+l_{2}}{2}$$

2. $$\sqrt{l_{1} l_{2}}$$

3. $$\frac{l_{1} T_{2}-l_{2} T_{1}}{T_{2}-T_{1}}$$

4. $$\frac{l_{1} T_{2}+l_{2} T_{1}}{T_{2}+T_{1}}$$

Subtopic: Â Young's modulus |
Â 66%
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A heavy mass is attached to a thin wire and is whirled in a vertical circle. The wire is most likely to break:

 1 when the mass is at the highest point 2 when the mass is at the lowest point 3 when the wire is horizontal 4 at an angle of $$\cos^{-1}(\frac{1}{3})$$ from the upward vertical

Subtopic: Â Stress - Strain |
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When a metal wire elongates by hanging a load on it, the gravitational potential energy is decreased.

 1 this energy completely appears as the increased kinetic energy of the block 2 this energy completely appears as the increased elastic potential energy of the wire 3 this energy completely appears as heat 4 none of these
Subtopic: Â Potential energy of wire |
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