Respuesta :
The frequency of the red light is 428 terahertz. To get the value of the red light's frequency, use the formula F = velocity/wavelength. The velocity of light is 3.00 x 10^8 m/s. For easier computation, convert 700.5 nanometers to meter. 1 nanometer is equal to 1 x 10^-9 meters. 700.5 nanometers is equal to 7.005 x 10^-7 meters. Divide the velocity 3.00 x 10^8m/s by wavelength 7.005 x 10^-7 meters. The result will be 4.28 x 10^14 Hertz or 428 terahertz.
Taking into account the definition of wavelength, frecuency and propagation speed, the frequency of the red light is 4.28× 10¹⁴ Hz.
Wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. That is, in a periodic wave the wavelength is the physical distance between two points from which the wave repeats. It is expressed in units of length (m).
On the other side, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
Finally, the propagation speed is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.
The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following expression:
v = f * λ
All electromagnetic waves propagate in a vacuum at a constant speed of 3x 10⁸ m / s, the speed of light.
So, in this case, you know:
- v=3 x 10⁸ m / s
- f= ?
- λ= 700.5 nm= 700.5× 10⁻⁹ m
Replacing:
3 x 10⁸ m/s= f× 700.5× 10⁻⁹ m
Solving:
f= 3 x 10⁸ m/s÷ 700.5× 10⁻⁹ m
f =4.28× 10¹⁴ Hz
In summary, the frequency of the red light is 4.28× 10¹⁴ Hz.
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