The candela measures luminous intensity, whereas the lumen measures luminous flux. In simple terms, you can think of luminous intensity as being similar to 'brightness', while luminous flux is similar to the rate at which light leaves its source.
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Luxmeter measures luminous intensity. The SI unit of luminous
intensity is candela (cd).
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Illuminance is another term for luminous-flux density which defines the intensity of the luminous flux arriving at a surface, measured in lumens per square metre, which is given the special name 'lux'.