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

Question

Ezra

Physics

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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Answers (1)

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Kenzie Combs · Answer 1

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