Physics, 14.09.2019 04:30, ajahbraun

What is the approximate radius of the n = 1orbit of gold ( z
=79 )?

Answers: 1

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Answers

answered: petertester7up

$6.70\times 10^{-13}\ m$

Explanation:

Given:

$n = n^{th}$ orbit of gold = 1

= atomic number of gold = 79

Assumptions:

= Planck's constant = $6.62\times 10^{-34}\ m^2kg/s$

= Boltzmann constant = $9\times 10^{9}\ Nm^2/C^2$

= magnitude of charge on an electron = $1.6\times 10^{-19}\ C$

= mass of an electron = $9.1\times 10^{-31}\ kg$

= radius of the $n^{th}$ orbit of the atom

WE know that the radius of the $n^{th}$ orbit of an atom is given by:

$r = \dfrac{n^2h^2}{4\pi^2kZe^2m}\\$

Let us find out the radius of the 1st orbit of the gold atom for which n = 1 and Z = 79.

$r = \dfrac{n^2h^2}{4\pi^2kZe^2m}\\\Rightarrow r = \dfrac{(1)^2(6.62\times 10^{-34})^2}{4\pi^2\times 9\times 10^9\times 79\times (1.6\times 10^{-19})^2\times 9.1\times 10^{-31}}\\\Rightarrow r =6.70\times 10^{-13}\ m$

answered: Guest

firearm identification is the process of analyzing the bullets and cartridge cases left at a crime scene to determine if they came from a particular firearm. marks on the bullets and cartridges may be common to every firearm of that type. these are called class characteristics.

answered: Guest

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

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