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?

$\mathrm{}$
1. 4.86×10^-6m

2. 3.92×10^-7m

3. 3.01×10^-7m

4. 6.36×10^-7m

What is the density of water at a depth where pressure is 80.0 atm, given that its density at the surface is 1.03×\(10^{3}\) \(\text{kg}\) \(\text{m}^{- 3}\)?
1. \(0 . 021 \times 10^{3}~\text{kg m}^{-3}\)
2. \(4.022 \times10^{3}~\text{kg m}^{-3}\)
3. \(3.034 \times 10^{3}~\text{kg m}^{-3}\)
4. \(1.034 \times 10^{3}~\text{kg m}^{-3}\)

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 $140\times {10}^9$ $\mathrm{Pa}$.)
1. \( 3.1 \times 10^{-2} \mathrm{~m}^3 \)
2. \(9.1 \times 10^{-3} \mathrm{~cm}^3 \)
3. \(5.0 \times 10^{-2} \mathrm{~cm}^3 \)
4. \(7.9 \times 10^{-2} \mathrm{~cm}^3\)$$

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