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14 January, 23:56

It takes light 8 minutes to reach the Earth from the Sun. Neptune is 30 times

further away from the Sun than the Earth is. What's the time delay in a conversation

with someone at Neptune when the planets are both at their closest and at their

furthest?

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Answers (1)
  1. 15 January, 00:05
    0
    The time delay in a conversation with someone at Neptune when the planets are at their closest is 240 minutes

    The time delay in a conversation with someone at Neptune when the planets are at their furthest is 256 minutes

    Explanation:

    The parameters given are as follows;

    Time for duration of a signal to the Earth from the Sun = 8 minutes

    Distance of the Earth from Neptune = 30 * Distance of the Earth from the Sun

    Therefore, where distance from Neptune to the Sun = x

    x = 30 * Distance of the Earth from the Sun + Distance of the Earth from the Sun

    x = 31 * Distance of the Earth from the Sun

    Closest distance from the Earth to Neptune = 30 * Distance of the Earth from the Sun

    ∴ Farthest distance from the Earth to Neptune = Distance from Neptune to the Sun + Distance of the Earth from the Sun

    Farthest distance from the Earth to Neptune = x + Distance of the Earth from the Sun

    Farthest distance from the Earth to Neptune = 32 * Distance of the Earth from the Sun

    Hence, the time in a conversation with someone at Neptune when the planets are at their closest is given s follows;

    Closest distance from the Earth to Neptune = 30 * Distance of the Earth from the Sun

    Therefore, time for duration of a signal to the Earth from Neptune (when both planets are closest) = 30 * Time for duration of a signal to the Earth from the Sun

    Time delay of a signal to the Earth from Neptune (when both planets are closest) = 30 * 8 minutes = 240 minutes

    Similarly;

    Time delay of a signal to the Earth from Neptune (when both planets are furthest) = 32 * 8 minutes = 256 minutes.
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