Help identify these two cartridges?
I hope this is the right place for this. I found these awhile back going through my late grandfathers stuff. I'm usually pretty good at identifying old cartridges but these two have me stumped, he had no centerfire rifles so that doesn't help narrow it down either.
Originally I thought they were the same cartridge and one just had the bullet seated deeper but on further inspection the shoulders, body taper, and bullet diameter are different.
The left cartridge has a bullet diameter of .303"-.305" and seems to have a cupro-nickel jacket. Rim diameter is .540", rim thickness is .052", case length is 2.308", and overall length is 2.920" The Headstamps appears to be F 5 02. The headstamp font is tiny and almost illegible.
The right cartridge has a bullet diameter of .307"-.308" again appearing to be a cupro-nickel jacket. Rim diameter of .540", rim thickness is .058", case length is 2.308", and overall length is 3.064". The headstamp appears to be K 9 88.
Many thanks for any info, I'm thinking the one on the left may very well be .30-40 Krag, the one on the right has me stumped.
https://www.milsurps.com/images/impo.../IMG1090-1.jpg