How long will it take sound waves to travel a distance between points $$A$$ and $$B$$ if the air temperature between them varies linearly from $${{T}_{1}}$$ to$${{T}_{2}}$$? (The velocity of sound in air at temperature T is given by $$v=\alpha \sqrt{t}$$, where a is $$a$$ constant)

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TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$$\frac{2l}{\alpha \sqrt{{{T}_{1}}{{T}_{2}}}}$$

TuteeHUB · Answer

$$\alpha l\sqrt{\frac{{{T}_{1}}}{{{T}_{2}}}}$$

TuteeHUB · Answer

$$\sqrt{{{T}_{1}}+{{T}_{2}}}.\alpha l$$

TuteeHUB · Answer

$$\frac{2l}{\alpha (\sqrt{{{T}_{2}}+\sqrt{{{T}_{1}}}})}$$

1.	How long will it take sound waves to travel a distance between points \[A\] and \[B\] if the air temperature between them varies linearly from \[{{T}_{1}}\] to\[{{T}_{2}}\]? (The velocity of sound in air at temperature T is given by \[v=\alpha \sqrt{t}\], where a is \[a\] constant)
A.	\[\frac{2l}{\alpha \sqrt{{{T}_{1}}{{T}_{2}}}}\]
B.	\[\alpha l\sqrt{\frac{{{T}_{1}}}{{{T}_{2}}}}\]
C.	\[\sqrt{{{T}_{1}}+{{T}_{2}}}.\alpha l\]
D.	\[\frac{2l}{\alpha (\sqrt{{{T}_{2}}+\sqrt{{{T}_{1}}}})}\]
Answer» E.

How long will it take sound waves to travel a distance between points \[A\] and \[B\] if the air temperature between them varies linearly from \[{{T}_{1}}\] to\[{{T}_{2}}\]? (The velocity of sound in air at temperature T is given by \[v=\alpha \sqrt{t}\], where a is \[a\] constant)

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