Step 1: Understanding surface waves.
Surface waves are seismic waves that travel along the Earth's surface. Their characteristics, such as velocity and amplitude, are influenced by the properties of the Earth's surface and near-surface layers. These waves typically have slower velocities compared to body waves (P-waves and S-waves).
Step 2: Effect of surface wave phase velocity.
Surface wave phase velocity is frequency-dependent and varies with the elastic properties of the Earth's layers, particularly in the upper mantle. By studying the dispersion (variation with frequency) of surface waves, we can infer information about the structure and properties of the upper mantle.
Step 3: Conclusion.
Thus, surface waves can indeed be used to infer the upper mantle structure, as the phase velocity of surface waves varies with frequency.
Consider a medium of uniform resistivity with a pair of source and sink electrodes separated by a distance \( L \), as shown in the figure. The fraction of the input current \( (I) \) that flows horizontally \( (I_x) \) across the median plane between depths \( z_1 = \frac{L}{2} \) and \( z_2 = \frac{L\sqrt{3}}{2} \), is given by \( \frac{I_x}{I} = \frac{L}{\pi} \int_{z_1}^{z_2} \frac{dz}{(L^2/4 + z^2)} \). The value of \( \frac{I_x}{I} \) is equal to 
Suppose a mountain at location A is in isostatic equilibrium with a column at location B, which is at sea-level, as shown in the figure. The height of the mountain is 4 km and the thickness of the crust at B is 1 km. Given that the densities of crust and mantle are 2700 kg/m\(^3\) and 3300 kg/m\(^3\), respectively, the thickness of the mountain root (r1) is km. (Answer in integer)