Step 1: Evaluate Option (A).
The reaction is not a sharp univariant boundary, as it represents a reaction between two minerals that occurs over a range of temperatures, not at a single point. Therefore, Option (A) is incorrect.
Step 2: Evaluate Option (B).
Initially chlorite and staurolite are Fe-rich at lower temperatures. As the temperature increases, they gradually become Mg-rich, which is typical of progressive metamorphism. This statement is correct. Option (B) is the correct answer.
Step 3: Evaluate Option (C).
Chlorite becomes Mg-rich and staurolite becomes Fe-rich is incorrect. The opposite is true: chlorite becomes Mg-rich, and staurolite becomes Fe-rich with increasing temperature.
Step 4: Evaluate Option (D).
The reaction is not independent of the fugacity of H\(_2\)O, as water plays a crucial role in driving metamorphic reactions. The presence of water is essential to the reaction's progress. Therefore, Option (D) is incorrect.
Step 5: Conclusion.
Thus, the correct answer is (B).
The shaded region (P) in the given ACF diagram represents the compositional range of mafic rocks that have undergone granulite facies metamorphism. Which of the following equilibrium mineral assemblages is/are identified in these mafic rocks? 
The schematic diagram given below shows textual relationship among garnet, muscovite, biotite and kyanite in a metapelite. Biotite defines S1 foliation and muscovite defines S2 and S3 foliations. S1, S2, and S3 fabrics were developed during distinct deformation events D1, D2, and D3, respectively. Which one of the following represents the pre-D3 mineral assemblage? 
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)