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Q.

A thunderstorm is heard after the 10 s when lightning was seen. Provided that the speed of sound is 340 m/s, the approximate distance of the thundercloud from the observer would be__?


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a

3.1 km

b

3.2 km

c

3.3 km

d

3.4 km 

answer is D.

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Detailed Solution

The approximate distance of the thundercloud from the observer would be 3.4 km.
A light wave doesn’t need a medium to travel which is the opposite in the case of sound and this makes light travel faster than sound.
Given,
Time thunder would take to reach the observer, t=3 s and the speed of sound, v=340 ms-1 
So, the approximate distance of the thundercloud from the observer,
d=v×
 d= 340 × 10
 d=3400 m 
 d= 3.4 km
As the speed of light (3 × 108m/s) is much faster than the speed of sound (340 ms-1) therefore, light reaches earlier that sound to an observer during a thunderstorm.
 
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