Given:
Wavelength used by the satellite (λ) = 7.807 cm
To determine:
The frequency (ν) in MHz
Explanation:
Frequency is related to the wavelength by the following equation:
ν = c/λ
where c = speed of light = 3*10¹⁰ cm/s
ν = 3*10¹⁰ cm.s⁻¹/7.807 cm = 3843 *10⁶ s⁻¹
Now, the SI of frequency is Hertz (Hz) where:
1 Hz = 1 s⁻¹
Therefore, ν = 3843 * 10⁶ Hz
Since 1 Megahertz (MHz) = 10⁶ Hz,
ν = 3843 MHz
Ans: The frequency of light is 3843 MHz