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http://www.redsharknews.com/technology/item/1650-is-4k-twice-or-four-times-as-good-as-hd
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As for the Old Wives' Tale about damaging your eyes by sitting too close to the TV:-

If you haven't heard this one, you must not have ever been around a television as a kid. At least this one is somewhat rooted in some truth. Back in 1967, General Electric warned customers that some of their CRT colour TVs were emitting excessive x-rays
, and they recommended keeping children at a safe distance while watching. This led to some minor hysteria and created the notion that sitting close to any TV could be bad for your eyes.
Soon after, the US Congress and the FDA stepped in enacting the Radiation Control for Health and Safety Act of 1968 Since then, television sets had to be built limiting x-ray emissions as much as possible, and modern LCD and Plasma screens don't emit x-rays at all. When it comes to watching TV, sitting close to the screen isn't going to do eat away at your eyes, but it's still possible to encounter serious eye strain when you're looking at a screen for too long. Make sure you take plenty of screen breaks and you'll be fine.
Just a thought when you're watching your 4K TV at the maximum recommended distance of 7.5 ft.