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Decide whether the following statement makes sense​ (or is clearly​ true) or does not make sense​ (or is clearly​ false). Explain your reasoning.

I live in an apartment building that is 200 feet tall.

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Final answer:

The statement about living in a 200-feet-tall building makes sense as factual information. The analogy relating to apartment floors represents electron energy levels, and the notion that time runs faster at the top of a building is based on General Relativity, though it is imperceptible for practical purposes.

Step-by-step explanation:

The statement 'I live in an apartment building that is 200 feet tall' clearly makes sense, as there are many apartment buildings that reach such heights. Skyscrapers and high-rise residential towers commonly exceed this height, especially in urban centers.

However, if the student is referring to the analogy involving the relationship between the energy of electrons and their position in an atom, then they are discussing a concept in physics related to quantum mechanics.

Electrons can only exist at certain energy levels, and this concept can be loosely compared to living in an apartment building where the rent corresponds to the floor level.

Therefore, while the statement about the tall building makes sense in a real-world context, its connection to the energy levels of electrons in an atom is metaphorical.

Regarding the scenario where a friend claims that time runs faster at the top of a tall building: this is rooted in the effects of gravity on time as described by the theory of General Relativity. Time does in fact run slightly faster at higher altitudes relative to lower altitudes due to the weaker gravitational field.

However, the difference is imperceptible in everyday life and therefore is not a reasonable excuse for being five minutes late to an appointment.

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