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)${}^{}$
1. \(1.01\times10^{-3}\) m³
2. \(2.2 \times10^{-4}\) m³
3. \(1.9 \times10^{-3}\) m³
4. none of these

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

A steel wire of diameter 2 mm has a breaking strength of $4\times {10}^5 \mathrm{N}$. What is the breaking force of similar steel wire of diameter 1.5 mm?

1. $2.3\times {10}^5 \mathrm{N}$

2. $2.6\times {10}^5 \mathrm{N}$

3. $3\times {10}^5 \mathrm{N}$

4. $1.5\times {10}^5 \mathrm{N}$

A steel wire is 1 m long and 1 mm² in area of cross section. If it takes 200 N to stretch this wire by 1 mm, how much force will be required to stretch a wire of the same material as well as diameter from its normal length of 10 m to a length of 1002 cm?

1. 1000 N

2. 200 N

3. 400 N

4. 2000 N

What is the percentage increase in length of a wire of diameter 2.5 mm, stretched by a force of 100 kg wt? Young's modulus of elasticity of wire$=12.5\times {10}^{11} \mathrm{dyne}/{\mathrm{cm}}^2$

1. 0.16%

2. 0.32%

3. 0.08%

4. 0.12%

A rod of length l and radius r is held between two rigid walls so that it is not allowed to expand. If its temperature is increased, then the force developed in it is proportional to

1. l

2. $\frac{1}{\mathrm{l}}$

3. ${\mathrm{r}}^2$

4. ${\mathrm{r}}^{-2}$