$A$ girl is sitting in the middle of a park of dimension $12 \,m \times 12 \,m$. On the left side of it there is a building adjoining the park and on the right side of the park,there is a road adjoining the park. $A$ sound is produced on the road by a cracker. Is it possible for the girl to hear the echo of this sound? Explain your answer.

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(D) To hear an echo,the time interval between the original sound and the reflected sound must be at least $0.1 \,s$.
The minimum distance required for the reflected sound wave to be heard as an echo is calculated as:
Distance = Velocity of sound $\times$ Time interval
Distance = $344 \,m/s \times 0.1 \,s = 34.4 \,m$.
In this scenario,the girl is in the middle of a $12 \,m$ wide park. The sound travels from the road to the building $(6 \,m)$ and reflects back to the girl $(6 \,m)$.
Total distance travelled by the reflected sound = $6 \,m + 6 \,m = 12 \,m$.
Since $12 \,m < 34.4 \,m$,the reflected sound reaches the girl in less than $0.1 \,s$. Therefore,the girl cannot hear a distinct echo.

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