When a pressure of 100 atmosphere is applied on a spherical ball, then its volume reduces by 0.01%. The bulk modulus of the material of the rubber in $dyne / c{m}^2$ is:

1. $10\times {10}^{12}$                               

2. $100\times {10}^{12}$

3. $1\times {10}^{12}$                                 

4. $20\times {10}^{12}$

A uniform cube is subjected to volume compression. If each side is decreased by \(1\%\), then bulk strain is:

A ball falling into a lake of depth \(200~\text{m}\) shows a \(0.1\%\) decrease in its volume at the bottom. What is the bulk modulus of the material of the ball?
1. \(19.6\times 10^{8}~\text{N/m}^2\)
2. \(19.6\times 10^{-10}~\text{N/m}^2\)
3. \(19.6\times 10^{10}~\text{N/m}^2\)
4. \(19.6\times 10^{-8}~\text{N/m}^2\)

The Bulk modulus for an incompressible liquid is:

1. Zero                                           

2. Unity

3. Infinity                                       

4. Between 0 to 1

The Young's modulus of the material of a wire is $6\times {10}^{12}N/m^2$ and  there is no transverse strain in it, then its modulus of rigidity will be

1. $3\times {10}^{12}N/m^2$                       

2. $2\times {10}^{12}N/m^2$

3. ${10}^{12}N/m^2$                           

4. None of the above

Shearing stress causes a change in-

1.   Length                              

2.   Breadth

3.   Shape                               

4.   Volume

The strain-stress curves of three wires of different materials are shown in the figure. P, Q and R are the elastic limits of the wires. The figure shows that

1. Elasticity of wire P is maximum

2. Elasticity of wire Q is maximum

3. Tensile strength of R is maximum

4. None of the above is true

The diagram shows a force-extension graph for a rubber band. Consider the following statements

I. It will be easier to compress this rubber than expand it

II. Rubber does not return to its original length after it is stretched

III. The rubber band will get heated if it is stretched and released

 Which of these can be deduced from the graph?

1.   III only                              

2.   II and III

3.   I and III                            

4.   I only

The adjacent graph shows the extension $\left(∆l\right)$ of a wire of length 1m suspended from the top of a roof at one end with a load W connected to the other end. If the cross sectional area of the wire is ${10}^{-6}{m}^2$ calculate the young’s modulus of the material of the wire

1. $2\times {10}^{11}N/m^2$

2. $2\times {10}^{-11}N/m^2$

3. $3\times {10}^{-12}N/m^2$

4. $2\times {10}^{-13}N/m^2$

The graph shows the behaviour of a length of wire in the region for which the substance obeys Hook’s law. P and Q represent

1. P = applied force, Q = extension

2. P = extension, Q = applied force

3. P = extension, Q = stored elastic energy                       

4. P = stored elastic energy, Q = extension