There are several ways of measuring the rate of photosynthesis in the lab. These include:
the rate of oxygen production (number of bubbles or volume of oxygen gas given off in a set time)
the rate of carbon dioxide uptake
the rate of glucose production
Several factors can affect the rate of photosynthesis:
light intensity
carbon dioxide concentration
temperature
Light intensity
Without enough light, a plant cannot photosynthesise very quickly - even if there is plenty of water and carbon dioxide.
Increasing the light intensity increases the rate of photosynthesis, until some other factor - a limiting factorA factor which, if in short supply limits or reduces the rate of photosynthesis, eg temperature, light intensity and carbon dioxide concentration. - becomes in short supply.