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Question: The speed of sound is 330 m/s and that of light is \[3\times {{10}^{8}}\]m/s. The ratio of speed of ...

The speed of sound is 330 m/s and that of light is 3×1083\times {{10}^{8}}m/s. The ratio of speed of sound to the ratio of speed of light is approximately.

Explanation

Solution

Here we have been asked to find the ratio of speed of sound to that of light and we have been asked the approximate value of the ratio. So, this seems to be a very easy question as the speed of sound and speed of light both are provided in the question. We know that light is the fastest thing discovered till date. Sound needs A medium to travel. On the other hand light does not need any medium to travel, which makes it faster than sound.

Complete step by step answer:
We have been given all the required data. We are only expected to find the ratio of the given quantities.
The speed of light is given as 3×1083\times {{10}^{8}}m/s
and that of sound is given as 330 m/s.
so taking their ratios,
We get,
3303×108=1.1×106\dfrac{330}{3\times {{10}^{8}}}=1.1\times {{10}^{-6}}

Therefore, the correct answer is 1.1×1061.1\times {{10}^{-6}}.

Additional Information: Sound is basically a mechanical disturbance in a medium. Imagine a space filled with balls like molecules. If you hit one ball the ball will move and so will the other ball touching it. This will continue for some distance. Sound travels the same. Now light is not a mechanical disturbance, it is a fundamental particle. It needs no medium to travel.

Note: Here we were given all the values which made the question very easy to answer. But, in case we are not given the values students must know such basic values as they might help in solving other problems as well.