The volume contraction of a solid copper cube, \(10\) cm on an edge, when subjected to a hydraulic pressure of \(7.0\times10^6\) Pa is: (Bulk modulus of copper is \(140 \times10^{9}~\text{Pa}.\))
1. \( 3.1 \times 10^{-2} ~\text{m}^3 \)
2. \(9.1 \times 10^{-3} ~\text{cm}^3 \)
3. \(5.0 \times 10^{-2} ~\text{cm}^3 \)
4. \(7.9 \times 10^{-2} ~\text{cm}^3 \)$$

The average depth of the Indian Ocean is about \(3000\) m. The fractional compression, \(\dfrac{\Delta V}{V},\) of water at the bottom of the ocean is? (Given that the bulk modulus of water is \(2.2\times10^{9}\) Nm^–2 and \(g=10\) ms^–2)
1. \(1.36\times10^{-3}\)
2. \(2.36\times10^{-3}\)
3. \(1.36\times10^{-2}\)
4. \(2.36\times10^{-2}\)

The edge of an aluminium cube is \(10\) cm long. One face of the cube is firmly fixed to a vertical wall. A mass of \(100\) kg is then attached to the opposite face of the cube. The shear modulus of aluminium is \(25\) GPa. What is the vertical deflection of this face?
1. \(4.86 \times10^{-6}\) m
2. \(3.92 \times 10^{-7}\) m
3. \(3.01 \times10^{-6}\) m
4. \(6.36 \times10^{-7}\) m

How much should the pressure on a litre of water be changed to compress it by \(0.10 \%?\)
(Given Bulk modulus of water, \(B=2.2\times 10^9\) N-m^–2)
1. \(4.8 \times 10^6\) N/m² 
2. \(2.2 \times 10^6\) N/m² 
3. \(5.1 \times 10^6\) N/m² 
4. \(3.3 \times 10^6\) N/m²