Mechanical Properties of Solids

The approximate depth of an ocean is 2700 m. The compressibility of water is 45.4 10-11 Pa-1 and density of water is 103 kg/m3. What fractional compression of water will be obtained at the bottom of the ocean?

1. 1.2 10-2
2. 1.4 10-2
3. 0.8 10-2
4. 1.0 10-2

Copper of fixed volume V is drawn into wire of length l. When this wire is subjected to a constant force F, the extension produced in the wire is l. Which of the following graphs is a straight line ?

1. l versus 1l
2. l versus l2
3. l versus 1l2
4. l versus l

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

1. length = 200 cm, diameter = 2 mm
2. length = 300 cm, diameter = 3 mm
3. length = 50 cm, diameter = 0.5 mm
4. length = 100 cm, diameter = 1 mm

If the ratio of diameters, lengths and Young's modulus of steel and copper wires shown in the figure are p, q and s respectively, then the corresponding ratio of increase in their lengths would be [figure]

1. ( 5q7sp2 )
2. ( 7q5sp2 )
3. ( 2q5sp )
4. ( 7q5sp )