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An electron in an atom drops from an energy leveal at -1.1×10-18 J to an energy level at -2.4×10-18 J. The wave associated with the emitted photon has a frequency?
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An electron in an atom drops from an energy leveal at -1.1×10-18 J to ...
Calculating the frequency of the emitted photon

To calculate the frequency of the emitted photon, we can use the equation:

ΔE = hf

Where ΔE is the change in energy, h is Planck's constant, and f is the frequency of the emitted photon.

Calculating the change in energy

The change in energy can be calculated by subtracting the final energy level from the initial energy level:

ΔE = -2.4×10^-18 J - (-1.1×10^-18 J)
ΔE = -1.3×10^-18 J

Calculating the frequency

Now that we know the change in energy, we can use the equation above to calculate the frequency:

-1.3×10^-18 J = hf
f = (-1.3×10^-18 J) / h

We can look up the value of Planck's constant, which is approximately 6.626×10^-34 J s:

f = (-1.3×10^-18 J) / (6.626×10^-34 J s)
f = 1.96×10^15 Hz

Therefore, the frequency of the emitted photon is 1.96×10^15 Hz.

Explanation

When an electron in an atom drops from a higher energy level to a lower energy level, it releases energy in the form of a photon. The energy of the photon is equal to the energy difference between the two levels. The frequency of the photon is related to its energy through Planck's equation. By calculating the change in energy and using Planck's equation, we can determine the frequency of the emitted photon.
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An electron in an atom drops from an energy leveal at -1.1×10-18 J to an energy level at -2.4×10-18 J. The wave associated with the emitted photon has a frequency?
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