A square lead slab of side 50 cm and thickness 10 cm is subject to a shearing force (on its narrow face) of $9.0\times {10}^4 \mathrm{N}$. The lower edge is riveted to the floor as shown in the figure below. How much will the upper edge be displaced?

$\left(\mathrm{Shear} \mathrm{modulus} \mathrm{of} \mathrm{lead} = 5.6\times {10}^9 \mathrm{N} {\mathrm{m}}^{-2}\right)$

1.   0.16 mm

2.   1.8 mm

3.   18 mm

4.   16 mm

The average depth of the Indian Ocean is about 3000 m. The fractional compression, ∆V/V, of water at the bottom of the ocean is? Given that the bulk modulus of water is $2.2\times {10}^9 {\mathrm{Nm}}^{-2}.$

(Take $\mathrm{g} = 10 \mathrm{m} {\mathrm{s}}^{-2}$)

1.   $1.36\times {10}^{-3}$

2.   $2.36\times {10}^{-3}$

3.   $1.36\times {10}^{-2}$

4.   $2.36\times {10}^{-2}$