Suppose that you hear a clap of thunder 16.2 s after seeing the associated lightning stroke. The speed of sound waves in air is 343 m/s, and the speed of light is $3.0 \times 10^{8} m / s .$ How far are you from the lighting stroke?

8.56 k m

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5.56 k m

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7.56 k m

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6.56 k m

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Solution

The correct option is C $5.56 k m$
It is to be noted that lightning and thunder takes place at the same time and just that their speeds are different, we receive them at different time duration.
The speed of the sound, distance travelled and the time taken relationship is given as follows.
$S p e e d o f s o u n d = \frac{D i s t a n c e t r a v e l l e d}{T i m e t a k e n}$
From this equation the Distance travelled is derived as
$D i s t a n c e t r a v e l l e d = S p e e d o f s o u n d \times T i m e t a k e n$
In the question it is given that, the speed of thunder sound is 343 m/s and the time taken between the lightning and thunder is 16.2 seconds.
That is, $D i s t a n c e t r a v e l l e d = 343 m / s \times 16.2 s e c o n d s$
= 5556.6 meters.
Hence, the distance to be travelled by the lightning is 5556.6 meters of 5.56 km.

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Rohit was sitting beside the window when he saw a lightning. He started his stopwatch and found that after 22 seconds of lightning its thunder was heard. Given, Speed of light = 3 x $10^{8}$ $\frac{m}{s}$ and Speed of sound = $340 \frac{m}{s}$ .

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Suppose that you hear a clap of thunder 16.2 s after seeing the associated lightning stroke. The speed of sound waves in air is 343 m/s, and the speed of light is 3.0×108m/s. How far are you from the lighting stroke?

Suppose that you hear a clap of thunder 16.2 s after seeing the associated lightning stroke. The speed of sound waves in air is 343 m/s, and the speed of light is $3.0 \times 10^{8} m / s .$ How far are you from the lighting stroke?