Excited lithium atoms emit radiation at 670.8nm.
a. calculate the frequency of this radiation.
b. calculate the energy (in eV) of this radiation.
c. What color is this radiation?
c = frequency*wavelength
E(in joules) = hc/wavelength. Look up the conversion factor for J to eV.
You can look up the color on a color wheel.
To answer these questions, we can apply the formulas related to the wave characteristics of light. Here's how you can calculate the frequency and energy of the radiation emitted by excited lithium atoms, as well as identify the color:
a. To calculate the frequency (ν) of the radiation, you can use the equation:
c = λν
where c is the speed of light (approximately 3.00 x 10^8 m/s) and λ is the wavelength (670.8 nm = 670.8 x 10^-9 m).
Rearranging the equation, we get:
ν = c / λ
Plugging in the values, we have:
ν = (3.00 x 10^8 m/s) / (670.8 x 10^-9 m)
Calculate the result to find the frequency.
b. To calculate the energy (E) of the radiation, you can use the equation:
E = hν
where h is Planck's constant, approximately 6.626 x 10^-34 J·s (joule-seconds), and ν is the frequency (which can be obtained from part a).
Plugging in the values, we have:
E = (6.626 x 10^-34 J·s) * (frequency from part a)
Calculate the result to find the energy in joules.
To convert from joules to electron volts (eV), you can use the conversion factor: 1 J = 6.242 x 10^18 eV. Multiply the energy in joules by this conversion factor to obtain the energy in eV.
c. To determine the color of the radiation, you can refer to the electromagnetic spectrum and associate the wavelength (670.8 nm) with a color. Visible light ranges from approximately 400 to 700 nm. Since the wavelength (670.8 nm) is closer to the red end of the spectrum, we can conclude that the color of this radiation is red.
By following these steps, you can calculate the frequency, energy, and identify the color of the radiation emitted by excited lithium atoms.