Respuesta :
Answer:
Wavelength = 326.0869 m
Wavelength = 3.2609×10⁻¹¹ nm
Wavelength = 3.2609×10⁻¹² Å
Explanation:
The relation between frequency and wavelength is shown below as:
c = frequency × Wavelength
c is the speed of light having value [tex]3\times 10^8\ m/s[/tex]
Given, Frequency = 920 kHz
As, [tex]1\ kHz=10^3\ Hz[/tex]
So, Frequency = [tex]920\times 10^3\ Hz[/tex]
Thus,
[tex]Wavelength=\frac{c}{Frequency}[/tex]
[tex]Wavelength=\frac{3\times 10^8}{920\times 10^3}\ m[/tex]
Wavelength = 326.0869 m
Also,
1 m = 10⁻⁹ nm
So, Wavelength = 3.2609×10⁻¹¹ nm
1 m = 10⁻¹⁰ Å
So, Wavelength = 3.2609×10⁻¹² Å
The wavelength of the station's radio waves in meters (m), nanometers (nm), and angstroms (Å) are 326.0869 m, 3.2609×10⁻¹¹ nm & 3.2609×10⁻¹² Å
How we calculate the wavelength from frequency?
Relation between the wavelength (λ) and frequency (υ) of any radiation is represented as:
υ = c/λ, where
c = speed of light = 3×10⁸ m/s
Wavelength of 920 kHz or 920×10³ Hz waves of AM radiation will be calculated as:
λ = 3×10⁸ / 920×10³ = 326.0869 m
We know that relation between meters and nanometers is:
1 m = 10⁻⁹ nm
326.0869 m = 3.2609×10⁻¹¹ nm
And relation between meter and angstroms is:
1 m = 10⁻¹⁰ Å
326.0869 m = 3.2609×10⁻¹² Å
Hence, the wavelengths are 326.0869 m, 3.2609×10⁻¹¹ nm & 3.2609×10⁻¹² Å.
To know more about wavelengths, visit the below link:
https://brainly.com/question/10750459
