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Resolution with FF lens on crop body

No.3431567 View ViewReplyOriginalReport
Pardon my ignorance, but there's this claim put forward by the Northrup couple that I can't wrap my head around.

They claim that that mounting a full frame lens on a crop camera, will result in significantly lower resolution than put out by the sensor. For instance, according to their calculations, a 24-70 2.8 Canon L lens will only have a resolution output of 7 MP on a 18 MP 7D body.

Is there any validity to this claim, and if so, how is this explained in terms of optical theory? I understand that the light beam generated by a full frame lens will have a larger diameter than the mount diameter on a crop camera, but do the amount of photons hitting the sensor really equate directly to resolution in pixels?

Cheers for any insight. Here's a photo of the Northrup couple in bed.