To understand the impact of rotating a dipping bed with a plunging lineation about a vertical axis, it is important to comprehend the geological concepts involved.
A dipping bed is a geological layer that is inclined at an angle relative to the horizontal plane. The lineation is a linear feature within the rock, in this case, a plunging lineation means that this line is inclined downwards at an angle relative to the horizontal. The various parameters associated with these features are:
When a rotation about a vertical axis is applied:
The strike of the bed changes because strike is defined as the direction of the line where the plane of the bed intersects a horizontal plane. Rotating the bed around a vertical axis will change the compass direction of this horizontal line, thereby altering the strike.
The plunge direction of the lineation also changes. Since rotation about a vertical axis modifies the direction in which the lineation inclines, the compass direction of the plunge is altered as a consequence.
However:
The dip amount of the bed does not change because rotation about a vertical axis affects only the orientation (the strike) on the horizontal plane, not the angle of inclination relative to horizontal.
The plunge amount of the lineation remains constant, as this parameter describes the angle of inclination, which is unaffected by a rotation of the horizontal reference plane.
Therefore, upon rotating a dipping bed with a plunging lineation about a vertical axis, the plunge direction of lineation and the strike of bed will change, while the dip amount of bed and plunge amount of lineation will not change.

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)