This has been posted a thousand times to place the false "it's like a banana" meme crafted by the nuclear fission industry in its proper place.
Bananas are radioactive—But they aren't a good way to explain radiation exposure. When you eat a banana, your body's level of Potassium-40 doesn't increase. You just get rid of some excess Potassium-40. The net dose of a banana is zero.
It is a bit more complicated than that, but the complexity reduces the validity of the comparison even more.
Caldicott writing on the differrence between external radiation and internal emitters, Your airplane flight is an example of external radiation, the food issue deals with "internal emitters".
...Internal radiation, on the other hand, emanates from radioactive elements which enter the body by inhalation, ingestion, or skin absorption. Hazardous radionuclides such as iodine-131, caesium 137, and other isotopes currently being released in the sea and air around Fukushima bio-concentrate at each step of various food chains (for example into algae, crustaceans, small fish, bigger fish, then humans; or soil, grass, cow's meat and milk, then humans). <2> After they enter the body, these elements – called internal emitters – migrate to specific organs such as the thyroid, liver, bone, and brain, where they continuously irradiate small volumes of cells with high doses of alpha, beta and/or gamma radiation, and over many years, can induce uncontrolled cell replication – that is, cancer. Further, many of the nuclides remain radioactive in the environment for generations, and ultimately will cause increased incidences of cancer and genetic diseases over time.
The grave effects of internal emitters are of the most profound concern at Fukushima. It is inaccurate and misleading to use the term "acceptable levels of external radiation" in assessing internal radiation exposures. To do so, as Monbiot has done, is to propagate inaccuracies and to mislead the public worldwide (not to mention other journalists) who are seeking the truth about radiation's hazards.
2) Nuclear industry proponents often assert that low doses of radiation (eg below 100mSV) produce no ill effects and are therefore safe. But , as the US National Academy of Sciences BEIR VII report has concluded, no dose of radiation is safe, however small, including background radiation; exposure is cumulative and adds to an individual's risk of developing cancer....
How nuclear apologists mislead the world over radiation
George Monbiot and others at best misinform and at worst distort evidence of the dangers of atomic energyHelen Caldicott
guardian.co.uk, Monday 11 April 2011 12.10 BST
http://www.guardian.co.uk/environment/2011/apr/11/nuclear-apologists-radiationI trust that since you now have accurate information on the two items of corporate propaganda, you will refrain from spreading them in the future.