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 it's thunder was heard. Calculate the height of the clouds which caused this lightning. Given,
Speed of light $= 3 \times 10^{8}$ $\frac{m}{s}$ and Speed of Sound $= 340 \frac{m}{s}$ .

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

The speed of light is too high. So you can assume no time delay in colliding clouds and lightning. Since the time taken for light to travel from clouds to earth is approximately 0. So we can say that lightning happened at t=0, and the sound of thunder reached our ears at 22s.
$S o h e i g h t o f c l o u d s = 22 \times 340$
= 7480 m ≈ 7.5km.

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