A steel cable with a radius of 1.5 cm supports a chairlift at a ski area. If the maximum stress is not to exceed 108 N/m2, what is the maximum load that the cable can support?
1. 7.06 x 104 N
2. 5.03 x 104 N
3. 1.09 x 104 N
4. 17 x 104 N

Subtopic:  Stress - Strain |
 76%
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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×\(10^{3}\) \(\text{kg}\) \(\text{m}^{- 3}\)?
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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The volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of \(7.0\times10^6\) Pa is: (Bulk modulus of copper is 140×109 Pa.)
1. \( 3.1 \times 10^{-2} \mathrm{~m}^3 \)
2. \(9.1 \times 10^{-3} \mathrm{~cm}^3 \)
3. \(5.0 \times 10^{-2} \mathrm{~cm}^3 \)
4. \(7.9 \times 10^{-2} \mathrm{~cm}^3\)

Subtopic:  Shear and bulk modulus |
 81%
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Anvils made of single crystals of diamond, with the shape as shown in the figure, are used to investigate the behaviour of materials under very high pressures. Flat faces at the narrow end of the anvil have a diameter of 0.50 mm, and the wide ends are subjected to a compressional force of 50,000 N. What is the pressure at the tip of the anvil?


1. \(2.5\times10^{11}\) Pa
2. \(3.7\times10^{11}\) Pa
3. \(2.1\times10^{11}\) Pa
4. \(1.9\times10^{11}\) Pa

Subtopic:  Stress - Strain |
 60%
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A rod of length 1.05 m having negligible mass is supported at its ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths as shown in the figure. The cross-sectional areas of wires A and B are 1.0 mm2 and 2.0 mm2, respectively. At what point along the rod should a mass m be suspended in order to produce equal stresses in both steel and aluminium wires?
           

1. 0.7 m from wire A
2. 0.07 m from wire A
3. 7.0 m from wire A
4. 0.007 m from wire A

Subtopic:  Stress - Strain |
 61%
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Hooke's law is applicable for:

1. elastic materials only 2. plastic materials only
3. elastomers only 4. all of these

Subtopic:  Hooke's Law |
 68%
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The figure shows the graph between stress and strain for a uniform wire at two different temperatures. Then:

1. T1>T2

2. T2>T1

3. T1=T2

4. None of these

Subtopic:  Stress - Strain Curve |
 64%
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If two different types of rubber are found to have stress-strain curves as shown, then:
                   

1. A is suitable for shock absorbers.
2. B is suitable for shock absorbers.
3. B is suitable for car tires.
4. None of these

Subtopic:  Stress - Strain Curve |
 75%
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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=2×1011 Pa)
1. 3.03×10-7

2. 2.8×10-6

3. 7.22×10-7

4. 4.34×10-7

Subtopic:  Young's modulus |
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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. 4.86×10-6m

2. 3.92×10-7m

3. 3.01×10-7m

4. 6.36×10-7m

Subtopic:  Shear and bulk modulus |
 66%
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