# A force $$F$$ is needed to break a copper wire having radius $$R.$$ The force needed to break a copper wire of radius $$2R$$ will be: 1. $$F/2$$ 2. $$2F$$ 3. $$4F$$ 4. $$F/4$$

Subtopic:  Stress - Strain |
72%
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Steel and copper wires of the same length and area are stretched by the same weight one after the other. Young's modulus of steel and copper are $$2\times10^{11} ~\text{N/m}^2$$ and  $$1.2\times10^{11}~\text{N/m}^2$$. The ratio of increase in length is:

 1 $$2 \over 5$$ 2 $$3 \over 5$$ 3 $$5 \over 4$$ 4 $$5 \over 2$$
Subtopic:  Young's modulus |
91%
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Two wires of copper having length in the ratio of 4: 1 and radii ratio of 1: 4 are stretched by the same force. The ratio of longitudinal strain in the two will be:
1. 1: 16
2. 16: 1
3. 1: 64
4. 64: 1

Subtopic:  Hooke's Law |
62%
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On applying stress of $$20 \times 10^8~ ​​\text{N/m}^2$$, the length of a perfectly elastic wire is doubled. It's Young’s modulus will be:

 1 $$40 \times 10^8~ ​​\text{N/m}^2$$ 2 $$20 \times 10^8~ ​​\text{N/m}^2$$ 3 $$10 \times 10^8~ ​​\text{N/m}^2$$ 4 $$5 \times 10^8~ ​​\text{N/m}^2$$
Subtopic:  Young's modulus |
74%
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The ratio of lengths of two rods A and B of the same material is 1: 2 and the ratio of their radii is 2: 1. The ratio of modulus of rigidity of A and B will be:

 1 4: 1 2 16: 1 3 8: 1 4 1: 1
Subtopic:  Stress - Strain |
54%
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When a spiral spring is stretched by suspending a load on it, the strain produced is called:

 1 Shearing 2 Longitudinal 3 Volume 4 shearing and longitudinal

Subtopic:  Shear and bulk modulus |
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A cube of aluminium of sides 0.1 m is subjected to a shearing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be:
1. 0.02
2. 0.1
3. 0.005
4. 0.002

Subtopic:  Stress - Strain |
70%
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The strain-stress curves of three wires of different materials are shown in the figure. P, Q and R are the elastic limits of the wires. The figure shows that:

 1 Elasticity of wire P is maximum 2 Elasticity of wire Q is maximum 3 Tensile strength of R is maximum 4 None of the above is true

Subtopic:  Stress - Strain Curve |
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The work done in stretching an elastic wire per unit volume is:

 1 stress$$\times$$strain 2 $$\frac{1}{2}$$ $$\times$$ stress$$\times$$strain 3 $$2\times$$ stress$$\times$$strain 4 stress/strain
Subtopic:  Potential energy of wire |
95%
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A $$5$$ m long wire is fixed to the ceiling. A weight of $$10$$ kg is hung at the lower end and is $$1$$ m above the floor. The wire was elongated by $$1$$ mm. The energy stored in the wire due to stretching is:
1. zero
2. $$0.05$$ J
3. $$100$$ J
4. $$500$$ J

Subtopic:  Potential energy of wire |
78%
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