Step 1: Recall the anionic unit of amphiboles.
Amphiboles are double-chain inosilicates. The fundamental silicate anion is
\[
(\mathrm{Si}_4\mathrm{O}_{11})^{6-}.
\]
Step 2: Count how many oxygens are shared (bridging).
If four SiO$_4$ tetrahedra were isolated, they would contain $4\times4=16$ O.
In the double chain they actually have 11 O, hence the number of shared (bridging) oxygens
\[
b = 16-11=5.
\]
Step 3: Determine non-bridging oxygens.
Total oxygens present in the anionic unit $=11$.
Therefore, non-bridging oxygens $=11-b=11-5=6$.
Step 4: Form the ratio.
Bridging : Non-bridging $= 5 : 6$.
Final Answer:\quad \[ \boxed{5:6} \]
The following table provides the mineral chemistry of a garnet. All oxides are in weight percentage and cations in atoms per formula unit. Total oxygen is taken as 12 based on the ideal garnet formula. Consider Fe as Fetotal and Fe\(^{3+}\) = 0. The Xpyrope of this garnet is _.
The following table provides the mineral chemistry of a garnet. All oxides are in weight percentage and cations in atoms per formula unit. Total oxygen is taken as 12 based on the ideal garnet formula. Consider Fe as Fetotal and Fe\(^{3+}\) = 0. The Xpyrope of this garnet is _.

Choose the correct combination of minerals (listed in Group A) with the corresponding locations of their deposits (listed in Group B).

While doing Bayesian inference, consider estimating the posterior distribution of the model parameter (m), given data (d). Assume that Prior and Likelihood are proportional to Gaussian functions given by \[ {Prior} \propto \exp(-0.5(m - 1)^2) \] \[ {Likelihood} \propto \exp(-0.5(m - 3)^2) \] 
The mean of the posterior distribution is (Answer in integer)
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)