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: Analysis of the D-M-time diagram:
Reading the diagram:
Step 2: Evaluating each statement:
(A) - M₁ is a long-duration, broad event associated with deformation (D₁/S₁ and D₂/S₂) - characteristic of regional metamorphism. M₂ is a shorter, localized thermal event without associated deformation, producing andalusite - characteristic of contact metamorphism from igneous intrusion.
(B) - S₁ is the first schistosity formed during D₁. Crenulation cleavage forms when a pre-existing foliation is refolded, creating a new cleavage. Since S₁ is the first fabric, it would be a slaty cleavage or schistosity, not a crenulation cleavage. S₂ might be a crenulation cleavage formed by deforming S₁.
(C) - The diagram shows garnet is stable during the D₁/S₁ peak. "Syntectonic" means growing during deformation. Since garnet's stability coincides with D₁, it grew syntectonically with D₁.
(D) - Andalusite appears only during M₂, which occurs after D₂/S₂ has ended (note M₂ is to the right of the D₂/S₂ peak). Andalusite grew during M₂ contact metamorphism, post-dating D₂, not during its waning phase.
Answer: (A) and (C) are correct
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)