A radio wave sent from the surface of the earth reflects from the surface of the moon and returns to the earth. The elapsed time between the generation of the wave and the detection of the reflected wave is 2.6444s. then the distance from the surface of the earth to the surface of the moon would be 3.9632×10⁸ meters.
It can be understood in terms of the distance between any two similar successive points across any wave for example wavelength can be calculated by measuring the distance between any two successive crests.
As given in the problem A radio wave sent from the surface of the earth reflects from the surface of the moon and returns to the earth. The elapsed time between the generation of the wave and the detection of the reflected wave is 2.6444s
the given speed of the light is 2.9979 ×10⁸ m/s
As we know that
Distance =speed ×time
Distance = 2.9979 ×10⁸× 2.6444
=7.92644× 10⁸
This is the total distance covered by both ways from the moon to earth
The actual distance of the moon from earth would be half of this distance
Thus, the distance from the surface of the earth to the surface of the moon would be 3.9632×10⁸ meters.
Learn more about wavelength from here
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