For 606 nm visible light, calculate its frequency (𝜈, Hz), wavenumber (𝜈˜, cm−1), and photon energy (J).
Why did the light bulb break up with the lamp?
Because it couldn't handle the wattage!
To calculate the frequency (𝜈) of light, you can use the formula:
𝜈 = c / λ
where c is the speed of light in a vacuum (approximately 3.00 × 10^8 m/s) and λ is the wavelength of the light.
Given the wavelength of 606 nm (nanometers = 10^-9 meters), we can convert it to meters:
606 nm = 606 × 10^-9 m
Now we can substitute the values into the formula to calculate the frequency:
𝜈 = (3.00 × 10^8 m/s) / (606 × 10^-9 m)
𝜈 ≈ 4.95 × 10^14 Hz
Next, to calculate the wavenumber (𝜈˜) of light, you can use the formula:
𝜈˜ = 1 / λ
where λ is the wavelength of the light.
Substituting the given value of the wavelength (606 nm) into the formula, we can calculate the wavenumber:
𝜈˜ = 1 / (606 × 10^-9 m)
𝜈˜ ≈ 1.65 × 10^3 cm^-1
Finally, to calculate the photon energy, you can use the formula:
E = h * 𝜈
where E is the energy in joules, h is Planck's constant (approximately 6.63 × 10^-34 J·s), and 𝜈 is the frequency of the light.
Substituting the values into the formula, we can calculate the photon energy:
E = (6.63 × 10^-34 J·s) * (4.95 × 10^14 Hz)
E ≈ 3.28 × 10^-19 J
To calculate the frequency of light, you can use the equation:
ν = c / λ
where:
ν = frequency of light (in Hz)
c = speed of light in a vacuum (approximately 3.00 x 10^8 m/s)
λ = wavelength of light (in meters)
First, let's convert the given wavelength of 606 nm to meters:
λ = 606 nm = 606 x 10^(-9) meters
Now, we can substitute the values into the equation to find the frequency:
ν = c / λ
ν = (3.00 x 10^8 m/s) / (606 x 10^(-9) meters)
Next, to calculate the wavenumber, you can use the equation:
ν˜ = 1 / λ
where:
ν˜ = wavenumber (in cm^(-1))
Let's find the wavenumber by substituting the value of λ (in meters) into the equation:
ν˜ = 1 / λ
ν˜ = 1 / (606 x 10^(-9) meters)
Finally, to calculate the photon energy, you can use the equation:
E = h * ν
where:
E = energy of a single photon (in Joules)
h = Planck's constant (approximately 6.63 x 10^(-34) J*s)
ν = frequency of light (in Hz)
Let's find the photon energy by substituting the value of ν into the equation:
E = h * ν
E = (6.63 x 10^(-34) J*s) * ν
Now you can perform the calculations to find the frequency (ν), wavenumber (ν˜), and photon energy (E) using the formulas provided.
606 nm = 606 E-9 m wavelength.
wavenumber = 1/wavelength
c = frequency x wavelenth. You know wavelength, and c (3E8 m/s) calculate freq.
Energy = h*frequency.
Post your work if you get stuck.