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Calculate the energy and frequency of an electromagnetic radiation with a wavelength of 4.92 cm?
Wiki User
∙ 14y ago
The frequency of a wave is the speed of light divided by the wavelength. (ν=c/λ) Because the speed of light is most commonly given in meters per second, it helps to convert 4.92 cm to meters. Thanks to the metric system, this is really easy! There are 100 cm in every meter, so 4.92 cm = .0492 meters.
3.00*10^8 m/s (the speed of light) / .0492 meters
Using this equation, the frequency is 6097560976 Hz.
The energy (E) of a wave is Plank's constant (h) multiplied by the frequency (ν).
Plank's constant = 6.63*10^-34 J*s (Joules times seconds)
E = 6.63*10^-34 Js * 6097560976 Hz
E = 4.04*10^-24 Joules
Answer:
Frequency is 6,097,560,976 Hz
Energy is 4.04*10^-24 Joules.
This wave has a relatively low frequency (in the realm of microwaves and radio waves) and a relatively low energy level as well, but a relatively large wavelength.
Wiki User
∙ 14y ago
The energy of the electromagnetic radiation can be calculated using the equation E = hc/λ, where h is Planck's constant (6.63 x 10^-34 J·s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength (4.92 cm = 0.0492 m). Substituting these values into the equation gives E = (6.63 x 10^-34 J·s * 3.00 x 10^8 m/s) / 0.0492 m = 4.03 x 10^-22 J. The frequency of the radiation can be calculated using the equation f = c/λ, where f is the frequency. Substituting the values gives f = 3.00 x 10^8 m/s / 0.0492 m = 6.10 x 10^9 Hz.
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