A steel wire of length $$4.7$$ m and cross-sectional area $$3.0 \times 10^{-5}$$ m2 is stretched by the same amount as a copper wire of length $$3.5$$ m and cross-sectional area of $$4.0 \times 10^{-5}$$ m2 under a given load. The ratio of Young’s modulus of steel to that of copper is:
1. $$1.79:1$$
2. $$1:1.79$$
3. $$1:1$$
4. $$1.97:1$$

Subtopic:  Young's modulus |
71%
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The figure shows the stress-strain curve for a given material. The approximate yield strength for this material is:

1. $$3\times10^8~\text{N/m}^2$$
2. $$2\times10^8~\text{N/m}^2$$
3. $$4\times10^8~\text{N/m}^2$$
4. $$1\times10^8~\text{N/m}^2$$

Subtopic:  Stress - Strain Curve |
61%
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The stress-strain graphs for materials $$A$$ and $$B$$ are shown in the figure. Young’s modulus of material $$A$$ is: (the graphs are drawn to the same scale):

 1 equal to material $$B$$ 2 less than material $$B$$ 3 greater than material $$B$$ 4 can't say
Subtopic:  Stress - Strain Curve |
77%
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The stress-strain graphs for materials $$A$$ and $$B$$ are shown in the figure. Strength of material $$A$$ is:
(The graphs are drawn to the same scale)

 1 greater than material $$B$$ 2 equal to material $$B$$ 3 less than material $$B$$ 4 insufficient data

Subtopic:  Stress - Strain Curve |
72%
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Two wires of diameter $$0.25$$ cm, one made of steel and the other made of brass are loaded, as shown in the figure. The unloaded length of the steel wire is $$1.5$$ m and that of the brass wire is $$1.0$$ m. The elongation of the steel wire will be:
(Given that Young's modulus of the steel, $$Y_S=2 \times 10^{11}$$ Pa$\mathrm{}$ and Young's modulus of brass, $$Y_B=1 \times 10^{11}$$ Pa)

 1 $$1.5 \times 10^{-4}$$ m 2 $$0.5 \times 10^{-4}$$ m 3 $$3.5 \times 10^{-4}$$ m 4 $$2.5 \times 10^{-4}$$ m
Subtopic:  Young's modulus |
55%
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The edge of an aluminium cube is $$10$$ cm long. One face of the cube is firmly fixed to a vertical wall. A mass of $$100$$ kg is then attached to the opposite face of the cube. The shear modulus of aluminium is $$25$$ GPa. What is the vertical deflection of this face?

 1 $$4.86\times 10^{-6}~\text{m}$$ 2 $$3.92\times 10^{-7}~\text{m}$$ 3 $$3.01\times 10^{-7}~\text{m}$$ 4 $$6.36\times 10^{-7}~\text{m}$$
Subtopic:  Shear and bulk modulus |
66%
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Four identical hollow cylindrical columns of mild steel support a big structure of a mass of $$50,000$$ kg. The inner and outer radii of each column are $$30$$ cm and $$60$$ cm respectively. Assuming the load distribution to be uniform, the compressional strain of each column is:
(Given, Young's modulus of steel, $$Y = 2\times 10^{11}~\text{Pa}$$)
1. $$3.03\times 10^{-7}$$
2. $$2.8\times 10^{-6}$$
3. $$7.22\times 10^{-7}$$
4. $$4.34\times 10^{-7}$$

Subtopic:  Young's modulus |
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A steel cable with a radius of $$1.5~\text{cm}$$ supports a chairlift at a ski area. If the maximum stress is not to exceed $$10^{8}~\text{N/m}^2$$, what is the maximum load that the cable can support?
1. $$7.06\times 10^{4}~\text{N}$$
2. $$5.03\times 10^{4}~\text{N}$$
3. $$1.09\times 10^{4}~\text{N}$$
4. $$17\times 10^{4}~\text{N}$$

Subtopic:  Stress - Strain |
76%
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A $$14.5$$ kg mass, fastened to the end of a steel wire of unstretched length $$1.0$$ m, is whirled in a vertical circle with an angular velocity of $$2$$ rev/s at the bottom of the circle. The cross-sectional area of the wire is $$0.065~\text{cm}^2$$. The elongation of the wire when the mass is at the lowest point of its path is:
(Young's modulus = $$2×10^{11}~\text{N/m}^2$$)
1. $$7 . 01 \times 10^{-3}~\text{m}$$
2. $$2 . 35 \times 10^{-3}~\text{m}$$
3. $$1 . 87 \times 10^{-3}~\text{m}$$
4. $$3 . 31 \times 10^{-3}~\text{m}$$

Subtopic:  Young's modulus |
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What is the density of water at a depth where pressure is $$80.0$$ atm, given that its density at the surface is $$1.03\times10^{3}~\text{kg m}^{-3}$$?
1. $$0 . 021 \times 10^{3}~\text{kg m}^{-3}$$
2. $$4.022 \times10^{3}~\text{kg m}^{-3}$$
3. $$3.034 \times 10^{3}~\text{kg m}^{-3}$$
4. $$1.034 \times 10^{3}~\text{kg m}^{-3}$$

Subtopic:  Shear and bulk modulus |
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