Respuesta :
Answer:
0.161m
Explanation:
Wavelength is given by:
Wavelength = speed/frequency
Where speed = speed of light (radio waves move at the speed of light)
Wavelength = c/f
For the first radio station:
Wavelength = (3 * 10^8)/(101.3 * 10^6)
Wavelength = 2.962m
For the second station:
Wavelength = (3 * 10^8)/(107.1 * 10^6)
Wavelength = 2.801m
Difference in wavelengths = 2.962 - 2.801 = 0.161m
Given Information:
[tex]f_{1} = 101.3[/tex] [tex]Mhz[/tex]
[tex]f_{2} = 107.1[/tex] [tex]Mhz\\[/tex]
Required Information:
λ₁ - λ₂ = ?
Answer:
λ₁ - λ₂ = 0.16 m
Explanation:
To find out the difference between two wavelengths , first we have to find the individual wavelength of two radio waves.
As we know Radio waves are electromagnetic waves and they travel at the speed of light. The relation between frequency, wavelength and speed of radio waves is given by
λ = c / f
Where c is the speed of light and is equal to 299792458 m/s
λ₁ = c / f₁
λ₁ = 299792458 / 101.3x10⁶
λ₁ = 2.959
λ₂ = c / f₂
λ₂ = 299792458 / 107.1x10⁶
λ₂ = 2.799 m
Therefore, the difference between the wavelengths is
λ₁ - λ₂ = 2.959 - 2.799
λ₁ - λ₂ = 0.16 m
