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In order to calculate the wavelength of light, you must know the frequency and the speed of light. λ = c ν. Example: What is the wavelength of light in nanometers (nm) that has a frequency of 5.71 ×1014Hz? Solution: Rearrange the equation given above to isolate wavelength and solve for wavelength.
How do you calculate the wavelength of the light emitted by a hydrogen atom during a transition of its electron from the n = 4 to the n = 1 principal energy level? Recall that for hydrogen #E_n = -2.18 xx 10^-18 J(1/n^2)#
The equation that relates wavelength, frequency, and speed of light is. c = λ ⋅ ν. c = 3.00 × 108 m/s (the speed of light in a vacuum) λ = wavelength in meters. ν = frequency in Hertz (Hz) or 1 s or s−1. So basically the wavelength times the frequency of an electromagnetic wave equals the speed of light. FYI, λ is the Greek letter ...
Wavelength from energy. The formula is. E = hc λ or λ = hc E, where h is Planck's constant. For example, what is the wavelength of a photon that has an energy of. 3.36 × 10⁻¹⁹ J? λ = hc E = 6.626 ×10⁻³⁴J⋅s ×2.998 × 10⁸m⋅s⁻¹ 3.36 × 10⁻¹⁹J = 5.91 × 10⁻⁷ m =. 591 nm. Answer link. To calculate the wavelength ...
This basically tells you that if you multiply the wavelength and the frequency, you must always end up with the value of the speed of light, In your case, you already know the frequency of the radio waves. 198 kHz = 198kHz ⋅ 103 Hz 1kHz = 1.98 ⋅ 105 Hz. As you know, you have. 1 Hz = 1 s−1.
What you want to do is: 1 s → 1 m → m → nm. Conversion factors are extremely useful, and one easy one to remember is the speed of light, which is about 3 × 108m/s. 1 1 s ⋅ s m = m. And finally, we can convert to nm: 109nm = 1 m → conversion factor: 109nm 1 m. m ⋅ 109nm 1m. Thus, overall, you just have:
Use the wave equation v=f\\lambda This is a very important equation in physics and works for all types of waves, not just electromagnetic ones. It works for sound waves too, for example. v is the velocity f is the frequency \\lambda is the wavelength Now, when we're working with the electromagnetic spectrum, velocity v is always the speed of light. The speed of light is denoted c and is ...
To calculate the wavelength of a radio wave, you will be using the equation: Speed of a wave = wavelength X frequency. Since radio waves are electromagnetic waves and travel at 2.997 X 10^8 meters/second, then you will need to know the frequency of the radio wave. If the radio wave is on an FM station, these are in Megahertz. A megahertz is one million hertz. If the radio wave is from an AM ...
121.6 \text{nm} 1/lambda = \text{R}(1/(n_1)^2 - 1/(n_2)^2) * \text{Z}^2 where, R = Rydbergs constant (Also written is \text{R}_\text{H}) Z = atomic number Since the question is asking for 1^(st) line of Lyman series therefore n_1 = 1 n_2 = 2 since the electron is de-exited from 1(\text{st}) exited state (i.e \text{n} = 2) to ground state (i.e text{n} = 1) for first line of Lyman series.
If you know the frequency of the photon, you can calculate the wavelength using the equation λ = c ν where c is the speed of light and ν is the frequency. Example: for a photon of frequency 6 ×1012s−1 the wavelength is. λ = 3 ×108 m s 6 × 1012s−1 = 5 × 10−5m = 50micrometers. If you know the frequency of the photon, you can ...