In an undeformed and normal stratigraphic succession, a dolerite dyke was emplaced before deposition of sandstone B. The difference between the maximum ages (in Myr) of deposition of sandstone A and sandstone B is ............... 
Step 1: Understanding the stratigraphy and relationships.
In a normal stratigraphic succession, the layers are deposited sequentially, and the oldest layers are at the bottom. According to the law of superposition, the dolerite dyke was emplaced before the deposition of sandstone B, which means the dolerite dyke is older than both sandstone A and B.
- The age of the dolerite dyke is 75 Ma (million years ago).
- The age of volcanic ash bed 1 is 132 Ma.
- The age of volcanic ash bed 2 is 62 Ma.
Step 2: Analyzing the time difference.
- Sandstone A lies above the dolerite dyke and below volcanic ash bed 1. This means that the deposition of sandstone A occurred after the dolerite dyke was emplaced but before volcanic ash bed 1 was deposited.
- Sandstone B lies below volcanic ash bed 2, meaning sandstone B was deposited before volcanic ash bed 2.
The maximum age of deposition of sandstone A is the age of volcanic ash bed 1, which is 132 Ma, as this is the layer that it lies beneath.
The maximum age of deposition of sandstone B is the age of volcanic ash bed 2, which is 62 Ma.
Step 3: Calculate the difference in ages.
The difference between the maximum ages of deposition of sandstone A and B is:
\[
\text{Difference} = 132 \, \text{Ma} - 62 \, \text{Ma} = 70 \, \text{Ma}
\]
Thus, the difference between the maximum ages of deposition of sandstone A and sandstone B is 70 Ma.
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) 
Match the stratigraphic units in Group I with their corresponding basins in Group II.
| Group I | Group II |
|---|---|
| P. Kajrahat Limestone | 1. Cuddapah |
| Q. Shahabad Limestone | 2. Pranhita-Godavari |
| R. Chanda Limestone | 3. Vindhyan |
| S. Narji Limestone | 4. Bhima |
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) 
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 )
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) 