Answer:
s = 686 m
Step-by-step 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