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Determine the energy and wavelength of a wave with a frequency of 3.6X 1016 hertz Would this be a wave of interest to nuclear medicine?
Amjohns7
assuming the wave is electromagnetic... the energy of a single photon of that frequency is given by the formula E=hf
where E= energy of the photon h=the Planck constant f= the frequency of the photon
From this the energy of the photon is the Planck constant (6.63 x10-34) multiplied by the frequency 3.6x1016 Hz.
E= 23.9x10-18 Joules.
The wavelength of any wave is determined by the equation wave speed = frequency x wavelength. thus, the wavelength is the wave speed divided by the frequency. since all electromagnetic waves travel at the speed of light then...
wavelength = 3x108 / 3.6x1016
wavelength = 0.83x10-8 = 8.3x10-9 metres.
The electromagnetic radiation corresponding to this energy and wavelength is ultraviolet radiation and may be of interest to nuclear medicine.
Wiki User
∙ 14y ago
The energy of a wave is given by E = h*f, where h is Planck's constant (approx. 6.63 x 10^-34 Joule seconds). So, the energy of a wave with frequency 3.6 x 10^16 Hz is approximately 2.38 x 10^-17 Joules. The wavelength can be calculated using the formula λ = c/f, where c is the speed of light (approx. 3 x 10^8 m/s), giving a wavelength of approximately 8.33 x 10^-9 meters. This falls into the ultraviolet range, which is not typically used in nuclear medicine procedures.
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