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11 December, 12:59

Ultraviolet light from a distant star is traveling at 3.0 * 108 m/s. How long will it take for the light to reach Earth if it must travel 4.0 * 1013 km? 2.7 * 10-2 hours 2.2 * 103 hours 3.7 * 104 hours 1.3 * 105 hours

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  1. 11 December, 16:02
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    Option D is the correct answer.

    Explanation:

    Ultraviolet light from a distant star is traveling at 3.0 * 10⁸ m/s.

    Speed = 3.0 * 10⁸ m/s

    We need to find how long will it take for the light to reach Earth if it must travel 4.0 * 10¹³ km

    Distance = 4.0 * 10¹³ km = 4.0 * 10¹⁶ m

    We know

    Distance traveled = Speed of travel x Time taken

    4.0 * 10¹⁶ = 3.0 * 10⁸ x t

    t = 1.33 x 10⁸ s

    Time, t = 37037 hours = 3.7 x 10⁴ hours

    Option D is the correct answer.
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