(a) Determine the mass of a gold foil that is 0.010 cm thick and whose area is 1 cm× 1 cm . The

Uploaded: 2023-06-09T08:41:55-08:00
Duration: 1 min 49 s
Channel: Numerade

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Question

(a) Determine the mass of a gold foil that is 0.010 $\mathrm{cm}$ thick and whose area is 1 $\mathrm{cm} \times 1 \mathrm{cm} .$ The density of gold is $19,300 \mathrm{kg} / \mathrm{m}^{3} .$ (b) Determine the number of gold atoms in the foil if the mass of each atom is $3.27 \times 10^{-25} \mathrm{kg} .(\mathrm{c})$ The radius of a gold nucleus is $7 \times 10^{-15} \mathrm{m} .$ Determine the area of a circle with this radius. (d) Determine the chance that an alpha particle passing through the gold foil will hit a gold nucleus. Ignore the alpha particle's size and assume that all gold nuclei are exposed to it; that is, no gold nuclei are hidden behind other nuclei.

          (a) Determine the mass of a gold foil that is 0.010 $\mathrm{cm}$ thick and whose area is 1 $\mathrm{cm} \times 1 \mathrm{cm} .$ The density of gold is $19,300 \mathrm{kg} / \mathrm{m}^{3} .$ (b) Determine the number of gold atoms in the foil if the mass of each atom is $3.27 \times 10^{-25} \mathrm{kg} .(\mathrm{c})$ The radius of a gold nucleus is $7 \times 10^{-15} \mathrm{m} .$ Determine the area of a circle with this radius. (d) Determine the chance that an alpha particle passing through the gold foil will hit a gold nucleus. Ignore the alpha particle's size and assume that all gold nuclei are exposed to it; that is, no gold nuclei are hidden behind other nuclei.

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