$A$ 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.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(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.

Explore More

Similar Questions

Explain why echoes cannot be heard in a small room.

$(a)$ $A$ boy strikes one end of a long pipe with a stone. Another boy who keeps his ear close to the other end of the pipe hears two sounds in a short interval of time. Explain why.
$(b)$ List two uses of ultrasonics.

How does the sound produced by a musical instrument reach your ears? Astronauts need radio transmitters to talk to each other on the moon. Why?

What is a crest?

Define the following terms and state their $SI$ units:
$(a)$ Wavelength $(b)$ Time period $(c)$ Amplitude.
Establish the relation $V = v \lambda$,where the symbols have their usual meanings.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo