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Two children are at opposite ends of an aluminium rod. One str... - Science
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.
Answer
Given:
Speed of sound in air (
v_1) =346 \text{ m/s}Speed of sound in aluminium (
v_2) =6420 \text{ m/s}Let the length of the rod be
d.
Formula:
\text{Time} = \frac{\text{Distance}}{\text{Speed}}\text{Ratio} = \frac{\text{Time in Air}}{\text{Time in Aluminium}} = \frac{d / v_1}{d / v_2} = \frac{v_2}{v_1}
Calculation:
\text{Ratio} = \frac{6420}{346}\text{Ratio} \approx 18.55
Answer:
The ratio of times taken by the sound wave in air and in aluminium is 18.55 : 1.