Time and relativity

If you have two identical atomic clocks and they are both set to exactly the same time, but you keep one clock on the first floor of your house for 100 years and the other clock on the second floor for 100 years, how much ahead will the clock on the second floor be than the clock on the first floor?

so it's battery operated? lol.. joke

woah

is the answer 100 years? because thats what I came up with

I'd say that the clock on the second floor is closer to the sun. General Relativity does indeed predict that time should run slower near a massive body. This is because there is a relation between the energy of light and its frequency: the greater the energy, the higher the frequency. As light travels upward in a gravitational field, it loses energy and so its frequency goes down. This means that the length of time between one wave crest and the next goes up. To an observer high up, it would appear that everything below was taking longer to happen. But in actuality, the time is the same on both levels.

The fact that the clock on the second floor is futher from the Earth's center of gravity means that the clock on the second floor will move faster. The same principle works with anything. If a human stood on the second floor of a house he would age faster than when he stood on the first floor of his house because he would be further from the Earth's center of gravity. The person would also weigh less on the second floor of his house than the first floor of his house. The further a person goes above the surface of the Earth the less he weighs and the faster he ages. This works on different planets and stars too. If you go underground like in a Subway you will age slower and you will weigh more. If you go to the mountains or on an airplane you will weigh less and age faster. When you go to space you age much more rapidly and are much lighter than when you are on Earth. I just don't know how much of a difference there is in weight and age acceleration for every feet, or mile you go above the Earth's surface. Does anybody know a certain equation that I could use to find out how much time accelerates for the distance you are above the Earth's surface?

I was thinking general relativity to the sun maybe dealt and how they appeared to be moving...I was on a totally different page. That is very interesting.