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Inquiry into Physics

8th Edition
Ostdiek
ISBN: 9781337515863
Textbook Problem

(Indicates a review question, which means it requires only a basic understanding of the material to answer. Questions without this designation typically require integrating or extending the concepts presented thus far.)

. In Jules Verne’s classical science fiction tale Journey to the Center of the Earth, a group of scientists and adventurers descend deep into the interior of Earth. Among the equipment they carry with them is a rugged and carefully calibrated clock. Imagine a 21st-century update of this story in which colleagues on the surface of Earth possess an identical clock and remain in contact with the explorers throughout their descent via ground penetrating EM waves. As the journey unfolds, would the underground travelers notice any change in the rate at which their clock ticked from what they experienced at the start of their trip? What about those monitoring the expedition from Earth’s surface? Would they note any deviation in the rate of ticking of the subterranean clock relative to their own? If so, would the remote clock be seen to be running too slow? Too fast? Explain.

To determine

If any deviation in time of subterranean clock will be observed relative to an identical clock on the surface.

Explanation

Introduction:

As we go down, closer to the core of the earth we observe a difference in Earths gravitational force, due to this a time dilation may be noticed.

As we go deep into the earths, the gravitational pull of the earth increases (except in some areas of exception), thus it is obvious that there may be a time dilation due to varying gravity. This time dilation will be noticeable to the observers from the surface while the subterranean men carrying the watch may not observe this dilation. Though such an experiment cannot be carried out as it is not possible to dig beyond a point, we can only theoretically consider of the effects...

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