A certain electromagnetic wave has a wavelength of 6.25 x 10-7m. What is the

Chemistry

1 answer:

olasank [31]3 years ago

8 0

Answer: 4.80 * 10¹⁴s⁻¹

Explanation:

Speed = Frequency * Wavelength

So:

Frequency = Speed/ Wavelength

Speed of light = 3 * 10⁸ m/s

Frequency = (3 * 10⁸ m/s) / (6.25 x 10⁻⁷m)

= 4.80* 10¹⁴hz

= 4.80 * 10¹⁴s⁻¹

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Answer 1) : According to the complete question attached in the answer,

The radial wave function which is denoted by $R_{nl}(r)$ shown with orange color crosses through zero point. Also, At the the radial nodes, which are spherical shells to some radial distance away from the nucleus there no electron are found.

Also, the radial probability distribution curve denoted as $R^{2}_{nl}(r)$ shown in blue color is observed to touch zero, and shows the place of radial node.

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Considering the s orbital of the hydrogen, which has zero angular momentum (l); (l=0), as it has zero angular nodes.

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According to the image, there are 4 radial nodes shown, so n = 5 (as n-1 = 4; therefore, n = 5)

This represents the 5s orbital.

Answer 2) The radial nodes are observed in I'm seeing radial nodes at

$1.9a_{0}$ , $6.4a_{0}$ , $13.9a_{0}$ and $27.0a_{0}$ .

where $a_{0}$ represents the hydorgen bohr atomic radius = 0.0529177 nm

Explanation : It is quite easy to observe the given graph and find out the approximate values of the radial nodes, it does not requires any equation to be solved. Equation can be used to find the radial nodes if it was supplied along with the question. Although by mere speculation one can find out the answer.