You are working on an exhibit of the atom at a science museum. You want the exhibit

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You are working on an exhibit of the atom at a science museum. You want the exhibit to have a model of the atom in which the nucleus is big enough for visitors to see, about \(500 \mathrm{~mm}\) in diameter. The model needs to fit inside a square room with walls about \(25 \mathrm{~m}\) long. Will it fit if you make the nucleus this size?

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