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17 March, 04:18

The distance from earth to mars ranges between 780,000,000 km and 380,000,000 km depending on the time of the year. The speed of like is 300,000 km/s. Calculate the minimum time it takes for data transmitted by the Mars Surveyor to reach earth.

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  1. 17 March, 04:59
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    The minimum time, t = 21.11 m

    Explanation:

    Given,

    The maximum distance between the Earth and Mars, d = 780,000,000 km

    The maximum distance between the Earth and Mars, d = 780,000,000 km

    The speed of the light, c = 300,000 km/s

    The distance and speed of the object is related using the formula,

    v = d / t

    t = d / v

    The minimum time it takes for data transmission is when the distance between the Mars and the Earth is at minimum.

    Therefore,

    t = 380,000,000 km / 300,000 km/s

    = 1266.67 s

    = 21.11 minutes

    Hence, the minimum time it takes for data transmitted by the Mars Surveyor to reach earth, t = 21.11 minutes
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