One end of a uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W1 is suspended from its lower end. If A is the area of cross-section of the wire , the stress in the wire at a height 3L/4 from its lower end is :-

1.  W+W1A

2.  4W+W13A

3.  3W+W14A

4.  34W+W1A

Subtopic:  Stress - Strain |
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The bulk modulus of water is 2×109 N/m2. The increase in pressure required to decrease the volume of water sample by 0.1% is:-

1. \(4\times 10^{6}N/m^{2}\)

2. \(2\times 10^{6}N/m^{2}\)

3. \(2\times 10^{8}N/m^{2}\)

4. \(8\times 10^{6}N/m^{2}\)

Subtopic:  Shear and bulk modulus |
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To break a wire, a force of 106 N/m2 is required. If the density of the material is 3×103 kg/m3, then the length of the wire which will break by its own weight will be:

1. 34 m

2. 30 m

3. 300 m

4. 3 m

Subtopic:  Stress - Strain |
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The length of elastic string, obeying Hooke's law is l1 metres when the tension is 4N, and l2 metres when the tension is 5N. The length in metres when the tension is 0N will be-

1. 5l1-4l2                                

2. 5l2-4l1

3. 9l1-8l2

4. 9l2-8l1

Subtopic:  Hooke's Law |
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Two wires are made of the same material and have the same volume. The first wire has a cross-sectional area A and the second wire has a cross-sectional area 3A. If the length of the first wire is increased by l on applying a force F, how much force is needed to stretch the second wire by the same amount?

1. 9F

2. 6F

3. 4F

4. F

Subtopic:  Young's modulus |
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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. l vs 1l

2. l vs l2

3. l vs 1l2

4. l vs l

Subtopic:  Young's modulus |
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Overall changes in volume and radius of a uniform cylindrical steel wire are 0.2% and 0.002% respectively when subjected to some suitable force. Longitudinal tensile stress acting on the wire is:
(Y=2.0×1011 Nm-2)

1.  3.2×1011 Nm-2

2.  3.2×107 Nm-2

3.  3.6×109 Nm-2

4.  3.9×108 Nm-2

Subtopic:  Young's modulus |
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A 1000 kg lift is tied with metallic wires of maximum safe stress of 1.4 × 108 N m-2. If the maximum acceleration of the lift is 1.2 m s-2, then the minimum diameter of the wire is:
1. 1 m 

2. 0.1 m

3. 0.01 m 

4. 0.001 m

Subtopic:  Stress - Strain |
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A wire can sustain a weight of 10 kg before breaking. If the wire is cut into two equal parts, then each part can sustain a weight of:
1. 2.5 kg 

2. 5 kg

3. 10 kg 

4. 15 kg

Subtopic:  Stress - Strain |
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A uniform cylinder rod of length L, cross-sectional area A and Young's modulus Y is acted upon by the forces, as shown in the figure. The elongation of the rod is:

1. 3FL5AY

2. 2FL5AY

3. 2FL8AY

4. 8FL3AY

Subtopic:  Young's modulus |
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