Question

There is a gravitational redshift between a clock at sea level and a clock at the top of the (very tall) mountain K2. Imagine that you have two identical clocks, one at sea level and one at the top of K2. If they are both started on 2020 January 1, and both run until 2020 December 31, by how much (roughly) will their times dier at the end of the year? Give your answer in seconds. Which one will have run more quickly, and which more slowly?

Answer 1

The actual time between 2020 January 1 and 2020 December 31,

s

  

The time measured by the clock at the top of mountain K2,

and at the sea level,

Where,

Thus,

Thus at the end of the year, the clock at the top of the mountain delay by and at the sea level the time delay is . Thus the clock at the mountain run faster and at the sea level, the clock runs slowly.