A schematic deformation (D)-metamorphism (M)-time map of a metamorphic belt is shown below. The belt recorded two phases of deformation, D₁-D₂ and attendant schistosity, S₁-S₂ and metamorphism, M₁-M₂. The metamorphic minerals stable during these events are shown by solid lines. On the basis of this information, which of the following statement(s) is/are correct? 
Step 1: Understanding the diagram and events.
- The diagram shows two deformation events (D₁ and D₂) with corresponding schistosity (S₁ and S₂), which are linked to two distinct metamorphic events (M₁ and M₂).
- M₁ typically corresponds to regional metamorphism, and M₂ corresponds to contact metamorphism, based on the context of the diagram and the minerals involved.
Step 2: Analyzing the options.
(A) M₁ and M₂ events refer to regional and contact metamorphism, respectively: Correct — M₁ corresponds to regional metamorphism, and M₂ corresponds to contact metamorphism as indicated in the diagram.
(B) The S₁ schistosity developed as a crenulation cleavage: This statement is incorrect, as S₁ is likely to correspond to the initial foliation, not a crenulation cleavage.
(C) Garnet grew syntectonic with D₁: This is unlikely, as garnet typically forms during metamorphism, which may not coincide exactly with deformation D₁.
(D) Andalusite grew during the waning phase of D₂: Andalusite typically forms at higher temperatures and pressures, and its growth would likely be associated with the later stages of metamorphism, not the waning of deformation.
Step 3: Conclusion.
The correct answer is (A) M₁ and M₂ events refer to regional and contact metamorphism, respectively.
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? 
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)
The isobaric temperature-composition (T–X) phase diagram given below shows the phase relation between components M and N. The equilibrium melting undergone by the rock R to generate the liquid of composition L is .............. % (In integer )