Plant growth in blue light
With all the research I did this is my understand of why the plant that was exposed to blue light grew taller than the plant that was exposed to white light.

The results of this experiment proves the hypothesis that the plant that was exposed to the blue light will grow taller than the  plant that was exposed to white light. Chlorophyll is a green photosynthetic pigment that is found in most plants. The chlorophylls are found around pigments in the photosystem, chlorophyll helps the plant to get the right wavelength of light. There are two types of chlorophyll a and b. Chlorophyll a absorbs red and violet wavelength best, but it absorbs very little blue light. Chlorophyll b absorbs a lot of blue light. Understanding chlorophyll  b will explain why the blue plant grew taller than the white plant. It grew taller because in both of the photosystems there were more chlorophyll b then a, therefore there was a lot of pigments that absorbed the blue light and the plant was able to use the energy to produce more ATP which in the end resulted in more growth.  There were many factors that we could not control  temperature, time exposed to light, moisture, earth/fertilizer used, size of potting. In order to get an accurate result of different light affecting the growth of plants some of these factors must be implemented. 

Sources:
http://scienceline.ucsb.edu/getkey.php?key=3155

Can someone Confirm if this is right?