If the rocks are igneous then in general:-
Coarse = slowly.
Fine = fast.
However if the rocks are metamorphic or sedimentary then grain size has nothing to do with cooling and indicates other things.
Quartz
because it just is
Fast and slow are relative terms. If a heated igneous rock takes 3 hours to cool, is that fast or slow? During their formation, however, magma can solidify very slowly or very quickly. Rocks that have cooled quickly from magma are referred to as extrusive igneous rocks, such as obsidian and scoria. Rocks that have formed from slow cooling magma are called intrusive igneous rocks, such as granite and gabbro. The difference between the two types is in their grain size. Slow cooling magma produces large grained rock, and fast cooling magma produces fine-grained rock.
Obsidian is formed from very rapidly cooling lava.
Igneous rock is formed from the cooling of magma or lava.
Extrusive igneous rocks are fine grained due to fast cooling. They cool at a faster rate than most igneous rocks.
Quartz
A coarse grained texture, referred to as a phaneritic texture, will be the resultant igneous rock texture. The slower the magma cools the more time minerals have to crystallize and thus grow bigger.
yes because of fast cooling rate
Basalt is fine grained because it is rapidly cooled from molten material. Rapid cooling inhibits the growth of large mineral crystals, as the time that they are allowed to form and grow is lessened.Basalt grains are small because of fast cooling.
The difference between an Extrusive and Intrusive igneous rock is the way in which they cool. An Extrusive igneous rock cools very fast on the surface and is created by lava. Since the cooling process is very fast extrusive igneous rocks have very small crystals (fine grained). On the other hand an Intrusive igneous rock cools very slowly beneath the surface and is created by magma. Since the cooling process is very slow intrusive igneous rocks have very large crystals (coarse grained). In some instances there is also a third type of igneous rock. Technically it is an extrusive rock, but it resembles glass. This glass type of igneous rock forms when magma/lava is instantly cooled.
because it just is
Fast and slow are relative terms. If a heated igneous rock takes 3 hours to cool, is that fast or slow? During their formation, however, magma can solidify very slowly or very quickly. Rocks that have cooled quickly from magma are referred to as extrusive igneous rocks, such as obsidian and scoria. Rocks that have formed from slow cooling magma are called intrusive igneous rocks, such as granite and gabbro. The difference between the two types is in their grain size. Slow cooling magma produces large grained rock, and fast cooling magma produces fine-grained rock.
Obsidian is formed from very rapidly cooling lava.
Igneous rock is formed from the cooling of magma or lava.
Fast cooling lava or magma creates an aphanitic or small crystal (grain) textured igneous rock.
Igneous rocks have different textures for two reasons.The first reason is that the magma from which the igneous rocks were made can be acid (having a lot of silica in it like Granite) or basaltic (having less silica and a lot more dark minerals). The acidity of a magma has a great affect on the viscosity of the lava and this affects the texture of the rocks formed.The second (and more important) reason relates to the speed with which the magma cools. If the magma cools quickly the crystals are small and the rocks are fine textured. If the magma cools slowly the rocks end up with big, course grained crystals.