I dont think it is that simple..
To check the GN for 50mm, the best way is to do an actual test.
To calculate the GN, you have to...
find out the angle of flash from 85mm and 50mm
from that, you have to calculate the area of illumination at a fixed distance for both settings
then you have to compare the area of both, remembering that it takes 1/4 the power to light up 1/2 the surface area.
So by that logic, it is exponentially dimmer as the area gets bigger. :sweatsm:
Actually there is no need to calculate the area of illumination or anything like that because we're not measuring the illumination nor area of flash coverage.
The zoom feature of the flash head merely spreads or narrows the flash angle of coverage and manufacturers play this game of quoting their flash GNs at the narrowest angle to affect the flash to subject distance.
The GN formula = flash to subject distance x f-number of the aperture to expose correctly at a specified ISO setting.
Anyway the above GN formula also can be used this way:
f-number = GN / Flash-to-subject distance, or
flash-to-subject distance = GN / f-number
I've cross checked the measurements taken by my flash meter (incident flash meter reading) with actual camera exposures at different zoom settings on manual at full power plus actual distance measurements in a darkened room and the GN is definitely less than claimed on paper.
Most unusually, I recorded a drop of 1 stop in flash output when zoomed at the 70/85mm setting, which proves that this is indeed a budget product as the fresnel plastic lens doesn't really concentrate the light enough. IMO the zoom has little effect and you'd get the most output at the default 35mm/50mm setting.
Reality check, this is after all an $88 (before GST) product... :bsmilie: