It was a rainy day in Bangalore. Rohit was sitting beside the window when he saw a lightning. He started his stopwatch. He found that after 22 seconds of lightning its thundering was heard. Calculate the height of the clouds which caused this lightning. Given, speed of light $= 3 \times 10^{8} m s^{- 1}$ and speed of sound $= 340 m s^{- 1}$ .

10km

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8.5km

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7.5km

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5km

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Solution

The correct option is C
7.5km

Since light travels with a large speed, we can neglect the time taken for light to reach our eye.
The time taken for the sound of lightning to reach our ears at 22s.
The speed of sound in air is 340 $m s^{- 1}$

Hence, height of cloud = $speed of sound in air \times time taken to hear thundering$

So, height of clouds $= 22 \times 340 = 7480 m \approx 7.5 k m$

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Speed of light = $3 \times 10^{8} \frac{m}{s}$ and Speed of sound = $340 \frac{m}{s}$ .

It was a rainy day in Bangalore. Rohit was sitting besides the window when he saw a lightning. He started his stop watch. He found that after 22 seconds of lightning thunder was heard. Calculate the height of the clouds which caused this lightning. Given,
Speed of light = 3 x $10^{8}$ $\frac{m}{s}$ and Speed of sound = $340 \frac{m}{s}$ .

It was a rainy day in Bangalore. Rohit was sitting beside the window when he saw lightning. He started his stopwatch. He found that after $22$ seconds of lightning its roaring was heard. Calculate the height of the clouds which caused this lightning. Given, speed of light = $3 \times 10^{8}$ $m s^{- 1}$ and speed of sound = $340 m s^{- 1}$ .

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