How much should the pressure on a litre of water be changed to compress it by \(0.10 \%?\)
(Given Bulk modulus of water, \(\beta=2.2\times 10^9~\text{N-m}^2\))
1. \(4.8 \times 10^6~\text{N/m}^2\) 
2. \(2.2 \times 10^6~\text{N/m}^2\) 
3. \(5.1 \times 10^6~\text{N/m}^2\) 
4. \(3.3 \times 10^6~\text{N/m}^2\) 

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
${\mathrm{}}^{}$

Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. What is the maximum tension that can be exerted by the riveted strip if the shearing stress on the rivet is not to exceed 6.9×${10}^7$ Pa? (Assume that each rivet is to carry one-quarter of the load.)

1. 7850 N
2. 6000 N
3. 7070.73 N
4. 7799.76 N

The Marina trench is located in the Pacific Ocean, and at one place it is nearly \(11 \) km beneath the surface of the water. The water pressure at the bottom of the trench is about \(1.1 \times10^8\) Pa. A steel ball of initial volume \(0.32\) m³ is dropped into the ocean and falls to the bottom of the trench. What is the change in the volume of the ball when it reaches the bottom? (Given: \(B_{\mathrm{steel}}=1.6 \times10^{11}\) N/m²)${}^{}$

Select the correct alternative(s).

1. Elastic forces are not always conservative

2. Elastic forces are always conservative

3. Elastic forces are conservative only when Hooke's law is obeyed

4. Elastic forces are not conservative

Which of the following affects the elasticity of a substance?

1. Change in temperature

2. Impurity in substance

3. Hammering

4. All of these

Select the wrong definition.

1. Deforming Force - force that changes configuration of body

2. Elasticity - property of regaining original configuration

3. Plastic body - which can be easily melted

4. Elastic limit - beyond which material begins to flow

The shear strain is possible in

1. Solids

2. Liquids

3. Gases

4. All of these

The ratio of radii of two wires of the same material is 2: 1. If these wires are stretched by equal force, the ratio of stresses produced in them is:

1. 2: 1

2. 1: 2

3. 1: 4

4. 4: 1