Match the twinning in Group I with the corresponding mineral in Group II.
\[\begin{array}{|c|c|} \hline \textbf{Group I} & \textbf{Group II} \\ \text{P. Cross-hatched} & \text{1. Plagioclase} \\ \hline \text{Q. Carlsbad} & \text{2. Microcline} \\ \hline \text{R. Polysynthetic} & \text{3. Sanidine} \\ \hline \text{S. Brazil} & \text{4. Quartz} \\ \hline \end{array}\]
Step 1: Understanding twinning in minerals.
Twinning is a common crystallographic phenomenon where two or more crystals share a symmetrical relationship. In this case, we need to match the twinning types with the corresponding minerals.
Step 2: Analyzing the options.
P. Cross-hatched: Cross-hatched twinning is characteristic of Plagioclase (1).
Q. Carlsbad: Carlsbad twinning is typical in Microcline (2).
R. Polysynthetic: Polysynthetic twinning is a characteristic of Sanidine (3).
S. Brazil: Brazil twinning is most common in Quartz (4).
Step 3: Conclusion.
The correct answer is (C) P-1, Q-2, R-3, S-4, matching the twinning to the correct minerals.
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 )