Step 1: Recall hypersolvus vs.\ subsolvus.
In the alkali-feldspar (Ab–Or) system, a hypersolvus granite crystallizes one alkali-feldspar solid solution at high $T$ (above the solvus). A subsolvus granite crystallizes two feldspars: a K-rich alkali feldspar and an Ab-rich plagioclase; compositions lie on opposite sides of the solvus.
Step 2: Apply to Or$_{50$Ab$_{50}$.}
An intermediate composition like Or$_{50}$Ab$_{50}$ can exist as a single alkali-feldspar crystal only above the solvus (hypersolvus conditions). On cooling it exsolves to perthite. Under subsolvus conditions, the melt partitions into two coexisting feldspars rather than a single intermediate-composition feldspar; hence Or$_{50}$Ab$_{50}$ does not crystallize as one phase.
Final Answer:
\[
\boxed{\text{(A) Hypersolvus only; not subsolvus.}}
\]


Based on the given mineral proportions, which one of the following statements is CORRECT?
Rock X: \(\text{Olivine : Orthopyroxene : Clinopyroxene :: 50 : 30 : 20}\)
Rock Y: \(\text{Plagioclase : Alkali feldspar : Quartz :: 25 : 45 : 30} \)
Rock Z: \(\text{Biotite : Plagioclase : Alkali feldspar : Quartz :: 20 : 25 : 35 : 20}\)
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)