Step 1: Understanding metamorphic reactions.
The question asks about the closed-system metamorphic reaction between muscovite and quartz. In such reactions, muscovite (a mica) reacts with quartz to form orthoclase and sillimanite under high pressure and temperature conditions.
Step 2: Analyzing the options.
(A) orthoclase + sillimanite: This is the correct answer as it matches the typical products of this metamorphic reaction.
(B) orthoclase + biotite: This is incorrect, as biotite would not form in this specific reaction.
(C) plagioclase + biotite: This is incorrect because plagioclase and biotite are not the products of this reaction.
(D) plagioclase + sillimanite: This is also incorrect because plagioclase is not involved in the reaction between muscovite and quartz.
Step 3: Conclusion.
The correct answer is (A) orthoclase + sillimanite.
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? 
A magma having density of 2900 kg m\(^-3\) just reaches the surface through a two-layered crust as shown in the figure below. Assuming isostatic equilibrium, its depth of melting is .......... km. (Round off to one decimal place) 
Two boreholes A and B, both inclined towards 270°, penetrate a dipping coal bed at the same point and pass through it entirely in the sub-surface as shown in the figure below. The bed dips towards 270°. The thickness of the coal bed, measured along the borehole A is 10 m and along borehole B is 8 m. The angle between the two boreholes is 20°. The orthogonal thickness \( x \) of the coal bed is ........ m. (Round off to one decimal place) 
A well-developed succession of laminated shale is bound by two volcanic ash beds that were precisely dated as shown in the schematic diagram given below. Assuming a constant sedimentation rate, the age of the fossiliferous limestone bed 65 m above the basal volcanic ash bed is ............ Ma. (Round off to nearest integer) 
The data tabulated below are for flooding events in the last 400 years.
The probability of a large flood accompanied by a glacial lake outburst flood (GLOF) in 2025 is ........... \(\times 10^{-3}\). (Round off to one decimal place)
| Year | Flood Size | Magnitude rank |
|---|---|---|
| 1625 | Large | 2 |
| 1658 | Large + GLOF | 1 |
| 1692 | Small | 4 |
| 1704 | Large | 2 |
| 1767 | Large | 2 |
| 1806 | Small | 4 |
| 1872 | Large + GLOF | 1 |
| 1909 | Large | 2 |
| 1932 | Large | 2 |
| 1966 | Medium | 3 |
| 2023 | Large + GLOF | 1 |
A satellite launching vehicle is carrying a lander for Moon mapping.
As shown in the figure below, P is the position where the gravitational forces exerted by Earth and Moon on the vehicle balance out.
The distance \( P \) from the center of the Earth is ........... \(\times 10^5\) km. (Round off to two decimal places)