Question

Calculate the wavelengths of a 1530 kHz AM radio signal, a 105.1 MHz FM radio signal, and a 1.90 GHz cell phone signal.

Answer 1

196.07 m, 2.85 m and 0.15 m

Step-by-step explanation:

Frequency of AM radio signal, f₁ = 1530 kHz

Its wavelength can be given by :

`\lambda_1=(c)/(f_1)\\\\=(3* 10^8)/(1530* 10^3)\\\\=196.07\ m`

Frequency of FM radio signal, f₂ = 105.1 MHz

Its wavelength can be given by :

`\lambda_2=(c)/(f_2)\\\\=(3* 10^8)/(105.1* 10^6)\\\\=2.85\ m`

Frequency of cell phone signal, f₃ = 1.9 GHz

Its wavelength can be given by :

`\lambda_2=(c)/(f_2)\\\\=(3* 10^8)/(1.9* 10^9)\\\\=0.15\ m`

Hence, the required wavelengths are 196.07 m, 2.85 m and 0.15 m respectively.