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12 September, 20:56

While looking out the window, you see lightning flash and then two seconds later, you hear the thunder. How far was the lightening from you

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  1. 12 September, 21:07
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    s = 686 m

    Explanation:

    Let,

    time taken by light to reach the window = t

    therefore,

    time taken by sound to reach window = t + 2

    speed of light = c = 3 x 10⁸ m/s

    speed of sound = v = 343 m/s

    Now, the distance covered by both light and sound is same. Therefore,

    (s) light = (s) sound

    (c) (t) = (v) (t + 2)

    (3 x 10⁸) t = (343) (t + 2)

    (3 x 10⁸ - 343) t = 686

    t = 686/2.99 x 10⁸

    t = 2.3 x 10⁻⁶ s

    Now, the distance of lightning from window will be:

    s = ct

    s = (3 x 10⁸ m/s) (2.3 x 10⁻⁶ s)

    s = 686 m
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