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Two Children Are at Opposite Ends of an Aluminium Rod. One Strikes the End of the Rod with a Stone. Find the Ratio of Times Taken by the Sound Wave in Air and in Aluminium to Reach the Second Child - CBSE Class 9 - Science

ConceptSpeed of Sound in Different Media

Question

Two children are at opposite ends of an aluminium rod. One strikes the end of the rod with a stone. Find the ratio of times taken by the sound wave in air and in aluminium to reach the second child.

Solution

Let the length of the aluminium rod be d.

Speed of sound wave in aluminium at 25°C, vAl = 6420 ms-1

Therefore, time taken by the sound wave to reach the other end,

t_(Al)=d/"v"_(Al)=d/6420

Speed of sound wave in air at 25°C, vAir = 346 ms-1

Therefore, time taken by sound wave to reach the other end,

t_(Air)=d/"v"_(Air)=d/346

The ratio of time taken by the sound wave in air and aluminium:-

t_(Air)/t_(Al)=(d/346)/(d/6420)=6420/346=18.55

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Solution Two Children Are at Opposite Ends of an Aluminium Rod. One Strikes the End of the Rod with a Stone. Find the Ratio of Times Taken by the Sound Wave in Air and in Aluminium to Reach the Second Child Concept: Speed of Sound in Different Media.
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