To determine the correct relationship between the topographic contour value (\( t \)) and the stratum contour value (\( x \)) for an outcrop to occur on the topographic surface, we need to understand the concept of outcrops and contours.
Explanation:
An outcrop refers to a situation where a geological formation appears on the surface of the Earth. For an outcrop to occur, the elevation of the layer of rock or stratum (stratum contour value, \( x \)) must match the elevation of the Earth's surface (topographic contour value, \( t \)).
The relationship can be understood as follows:
For the rock layer to appear on the surface (i.e., outcrop), the elevation of the top of the stratum must equal the elevation of the land surface. This means that the topographic contour value (\( t \)) must equal the stratum contour value (\( x \)).
Correct Answer: t = x
Let's evaluate other options:
Hence, the only condition where the bed can outcrop at the surface is when t = x, making it the right choice.
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 )
Which of the following stereographic projections represent(s) an upright plunging fold? 
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) 
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 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? 
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 |
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? 