Two children are at opposite ends of an iron pipe. One strikes his end of the iron pipe with a stone. Find the ratio of times taken by the sound wave in air and in iron to reach the other child. Given, velocity of sound in air is 344 $m s^{- 1}$ and that in iron is 5130 $m s^{- 1} .$

\frac{t_{1}}{t_{2}} = 14.3

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\frac{t_{1}}{t_{2}} = 11.9

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\frac{t_{1}}{t_{2}} = 14.9

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\frac{t_{1}}{t_{2}} = 10.4

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Solution

The correct option is C $\frac{t_{1}}{t_{2}} = 14.9$
Here, the distance travelled by sound waves through air and iron is same which is equal to the thickness (s) of the rod.

For air, jet the speed be $v_{1}$ and time be $t_{1} .$

For iron, let the speed be $v_{2}$ and time be $t_{2} .$

Now, $v_{1} = \frac{s}{t_{1}} o r s = v_{1} t_{1}$ ...(1)

Also, $v_{2} = \frac{s}{t_{2}} o r s = v_{2} t_{2}$ ...(2)

From (1) & (2), we get, $v_{1} t_{1} = v_{2} t_{2}$

$\frac{t_{1}}{t_{2}} = \frac{5130}{344} = 14.9$

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Similar questions

Q. Two children are at the opposite end of an iron pipe. One strucks the end of the pipe with a stone. Calculate the ratio of the time taken by sound waves in air and in iron to reach the other child. Use speed of sound in (i) air

=

344 m s

^{- 1}

and (ii) iron

=

5130 m s

^{- 1}

Q. Two children are at the opposite end of an iron pipe. One struks the end of the pipe with a stone. Calculate the ratio of the time taken by sound waves in air and in iron to reach the other child. Use speed of sound in (i) air

= 344 m s^{- 1}

and (ii) iron

= 5130 m s^{- 1}

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The absolute temperature of air in a region linearly increases from $T_{1}$ to $T_{2}$ in a space of width d. Find the time taken by a sound wave to go through the region in terms of $T_{1}, T_{2}, d$ and the speed v of sound at 273 K.

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Two children are at opposite ends of an iron pipe. One strikes his end of the iron pipe with a stone. Find the ratio of times taken by the sound wave in air and in iron to reach the other child. Given, velocity of sound in air is 344 ms−1 and that in iron is 5130 ms−1.

Two children are at opposite ends of an iron pipe. One strikes his end of the iron pipe with a stone. Find the ratio of times taken by the sound wave in air and in iron to reach the other child. Given, velocity of sound in air is 344 $m s^{- 1}$ and that in iron is 5130 $m s^{- 1} .$