The answer is that different frequencies of EM waves carry different amounts of energy. The energy of an EM wave depends on its frequency. High-frequency, short-wavelength EM waves have more energy than low-frequency, long-wavelength waves. A high-frequency EM waves carries a lot of energy, so it has the possibility of damaging living tissue. But low-frequency wave carries much less energy, and is safer.
The binding energy of the electrons (also known as the work function of the surface) is determined as 2.43 x 10⁻¹⁹ J.
<h3>Binding energy of the electrons</h3>
The binding energy of the electrons is also known as work function of the metal and it is calculated as follows;
Ф = E - K.E
where;
Ф = hf - 86.2 kJ/mol
Ф = hc/λ - 86.2 kJ/mol
Ф = (6.63 x 10⁻³⁴ x 3 x 10⁸ )/515 x 10⁻⁹ - 86.2 kJ/mol
Ф = 3.86 x 10⁻¹⁹ J - (86200 J/mol)/(6.02 x 10²³)
Ф = 3.86 x 10⁻¹⁹ J - 1.43 x 10⁻¹⁹ J
Ф = 2.43 x 10⁻¹⁹ J
Learn more about work function here: brainly.com/question/19427469
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D. Same energy level but different sublevel.
<h3>Explanation</h3>
There are four quantum numbers [1]:
- <em>n</em><em>, </em>the principal quantum number,
- <em>l</em>, the orbital angular momentum quantum number,
- <em>
</em>, the magnetic quantum number, and - <em>
</em>, the electron spin quantum number.
As their names might suggest:
- <em>n </em>determines the main energy level of an electron.
- <em>l</em> determines the type of sublevel of an electron.
- Each sublevel might contain more than one orbital. <em></em> gives the orbital of an electron.
- Each orbital contains up to two electrons. <em></em> tells two electrons in the same orbital apart.<em> </em>
The two electrons in question come from the same atom. The question suggests that they have the same <em>n</em>, <em></em>, and <em></em>. As a result, both electrons are in main energy level <em>n</em> = 3. They share the same spin.
However, the two electrons differ in their value of <em>l</em>.
- <em>l </em>= 2 for the first electron. It belongs to a <em>d</em> sublevel.
- <em>l </em>= 1 for the second electron. It belongs to a <em>p</em> sublevel.
<h3>Reference</h3>
[1] Kamenko, Anastasiya, et. al, "Quantum Numbers", Physical & Theoretical Chemistry, Chemistry Libretexts, 24 Mar 2017.
