The reason why some stars are Red Giant and others White Dwarfs is because as stars are said to fuse helium into a much more larger atoms, they are said to become red giants.
Note that red giant, the inner helium core is said to shift and the outer layers of hydrogen widen . If the helium is gone, the stars are then said to become what we call white dwarfs.
The HR Diagrams tells us that the stars that has the lower temperatures can be seen on the right hand side of the HR Diagram as well as others.
Note that The reason why some stars are Red Giant and others White Dwarfs is because as stars are said to fuse helium into a much more larger atoms, they are said to become red giants.
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