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Question

# It is estimated that a signal takes 1.27 seconds to reach the earth from the surface of the moon. Calculate the distance of the moon from the earth. Given speed of radio signal = 3× 108 m/s (speed of light in air).

A

3.81 * 108 km

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B

3.81 * 105 km

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C

3.81 * 105 m

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D

3.81 * 108 m

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Solution

## The correct option is (A) and (B) 3.81 × 105 km3.81×108 mStep 1, Given dataSpeed = 3 × 108 m/sTime = 1.27 sStep 2, Finding the distance traveledWe know,Distance = speed × time Putting all the valuesDistance = 3 × 108 m/s × 1.27 s = 3.81 × 108 m = 3.81×108 m = 3.81 × 105kmHence the total distance traveled is 3.81×108 m and 3.81×105km .

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