A square lead slab of side 50 cm and thickness 10 cm is subject to a shearing force (on its narrow face) of $9.0×{10}^{4}$ $\mathrm{N}$. The lower edge is riveted to the floor as shown in the figure below. How much will the upper edge be displaced? Shear $\mathrm{modulus}$ $\mathrm{of}$ $\mathrm{lead}$ $=$ $5.6×{10}^{9}$ $\mathrm{N}$

1.   0.16 mm

2.   1.8 mm

3.   18 mm

4.   16 mm

Subtopic:  Shear and bulk modulus |
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The average depth of the Indian Ocean is about $$3000$$ m. The fractional compression, $$\frac{\Delta V}{V},$$ 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. $$2.36\times10^{-2}$$

Subtopic:  Shear and bulk modulus |
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