When molten rock (magma/lava) cools, its magnetic minerals (mainly magnetite/titanomagnetite) crystallise and grow. The rate of cooling directly controls the grain size of these magnetic minerals:
Rapid cooling (e.g. lava chilled at the surface or against cold rock) leaves very little time for crystal growth, so the magnetic grains that form are very small — close to the single-domain (SD) or pseudo-single-domain (PSD) size range, with few or no internal domain walls.
Susceptibility (\(k\)): bulk magnetic susceptibility in an applied field is largely controlled by how easily domain walls can move within multidomain (MD) grains — MD grains respond strongly to a weak applied field because their walls shift readily, giving a high induced susceptibility. Fine, near single-domain grains lack mobile domain walls (a SD grain is a single, uniformly magnetized domain), so the induced/bulk susceptibility of a rock dominated by fine grains is comparatively low. Hence rapid cooling → smaller grains → lower \(k\).
Remanent magnetization (\(I_r\)): single-domain and pseudo-single-domain grains are magnetically far more efficient at recording and, crucially, at *retaining* a stable thermoremanent magnetization (TRM) than multidomain grains, because there are no internal domain walls to later relax or realign and demagnetize the grain. As the fine grains cool quickly through their Curie/blocking temperature in the ambient (Earth's) field, they lock in a strong, stable remanence. Hence rapid cooling → fine SD/PSD grains → higher, more stable \(I_r\).
So rapid cooling produces a rock with lower susceptibility but higher (more stable) remanent magnetization — exactly option (B).
\(\boxed{k \text{ decreases}, \; I_r \text{ increases}}\)
In the schematic, line P shows a 1-D geothermal profile. If the heat flow at the base of the mantle increases, which line will reflect the new geothermal profile?

Consider a steady-state heat conduction equation for the Earth’s crust where \( A \) is the heat source and \( k \) is the thermal conductivity. Given the boundary conditions: \( T = 0 \) at the surface and \( Q \) is the heat flux at the surface, Which one of the following options would be the temperature \( T \) at depth \( z \)?
Is there any good show __________ television tonight? Select the most appropriate option to complete the above sentence.
As the police officer was found guilty of embezzlement, he was ___________ dismissed from the service in accordance with the Service Rules. Select the most appropriate option to complete the above sentence.
The figures I, II, and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?
