As space exploration increases, means of communication with humans and probes on other planets are being developed. (a) How much time (in s) does it take for a radio wave of frequency 8.93 x 10⁷ s⁻¹ to reach Mars, which is 8.1 x 10⁷ km from Earth? (b) If it takes this radiation 1.2 s to reach the Moon, how far (in m) is the Moon from Earth?

Question

Chemistry

Allan Hahn

2 March, 06:43

As space exploration increases, means of communication with humans and probes on other planets are being developed. (a) How much time (in s) does it take for a radio wave of frequency 8.93 x 10⁷ s⁻¹ to reach Mars, which is 8.1 x 10⁷ km from Earth? (b) If it takes this radiation 1.2 s to reach the Moon, how far (in m) is the Moon from Earth?

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Answers (1)

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Maxim Washington · Answer 1

a) Speed of radio waves in space = speed of light in space

= 3 x 10⁸ m / s

Time taken = distance / speed

= 8.1 x 10⁷ x 10³ / 3 x 10⁸ s

= 2.7 x 10² s

= 270 s

b)

Distance = speed x time

= 3 x 10⁸ x 1.2 m

= 3.6 x 10⁸ m

= 3.6 x 10⁵ km