126k views
12 votes
There is an explosion on the surface of a lake and two person Seema and John hear it's sound. Seema is 150m away on a boat and.John is 150 m below the surface of water. Who would hear the sound first and why?​

User Kartins
by
5.1k points

1 Answer

10 votes

Answer:

John would hear the sound first because sound travels faster in water than in air

Step-by-step explanation:

The location of the point of the explosion = On the water surface

The distance between Seema and the sound = 150 m

The medium through which the sound reaches Seema = Through the air

The distance between John and the sound = 150 m

The medium through which the sound reaches John = Through the water

The speed of sound in air = 343 m/s

The speed of sound in water = 1,481 m/s

The time it takes the sound to reach Seema, tₐ = 150 m/(343 m/s) ≈ 0.43732 seconds

The time it takes the sound to reach John,
t_w = 150 m/(1,481 m/s) ≈ 0.10128 seconds

The difference in the time it takes sound to reach Seema and John = 0.43732 s - 0.10128 s = 0.33603 s

The sound reaches John approximately 0.33603 seconds before it reaches Seema

Therefore, John would hear the sound first because sound travels about 4.3 times faster in water than in air.

User Karmalakas
by
5.4k points