Final answer:
In Bowen's reaction series, the right-hand branch represents minerals that crystallize at lower temperatures such as mica and feldspars, specifically quartz and biotite for the presented options.
Step-by-step explanation:
The minerals associated with the right-hand branch of Bowen's reaction series are mica and feldspars. This series depicts the order in which minerals crystallize from a magma as it cools.
On the right-hand side, the minerals crystallize at lower temperatures and typically in the presence of more water. The right-hand branch is characterized by the formation of minerals such as quartz, muscovite, and potassium feldspar (orthoclase).
Specific conditions of pressure and temperature during metamorphism will lead to the formation of biotite, staurolite, and sillimanite among others, but these are related to metamorphic processes, not Bowen's reaction series.
For Bowen's reaction series, the correct answer is quartz and biotite, which are found as cooler temperature phases in igneous rocks.