Sound signals were sent down from a ship return after 2s. Find out the depth of the sea, if the speed of sound in water is 1.5 km/s ?
Answers
We know that,
Speed (s) = Distance (d) ÷ Time (t)
∴ Distance = Speed × Time
According to the question, sound signals were sent down from a ship and they returned after 2 seconds.
∴ sound signals travelled the same distance twice
Thus, let us consider Required Distance to be 2d
Now,
s = 1.5 km/s
t = 2 s ecs
∴ 2d = (1.5 × 2) km
⇒2d = 3 km
⇒ d = 3/2 km
⇒ d = 1.5 km
The sound signals travelled 1.5 km in the water.
Answer:
We know that,
Speed (s) = Distance (d) ÷ Time (t)
∴ Distance = Speed × Time
According to the question, sound signals were sent down from a ship and they returned after 2 seconds.
∴ sound signals travelled the same distance twice
Thus, let us consider Required Distance to be 2d
Now,
s = 1.5 km/s
t = 2 s ecs
∴ 2d = (1.5 × 2) km
⇒2d = 3 km
⇒ d = 3/2 km
⇒ d = 1.5 km
The sound signals travelled 1.5 km in the water.
Explanation:
Let, the Depth of sea is x,
Distance traveled by sound wave=2d,
Time is taken by sound to travel both ways=1.6s,
Speed of the sound =
time taken
total distance travelled
=1400m/s=
1.6s
2d
d=1120m
Velocity of sound in water v=1500 m/s
Let the depth of sea be x.
The sound has to travel to the bottom of the sea and get reflected back to the ship itself, thus total distance traveled by the sound is 2x.
Time taken to hear an echo t=1 s
So, 2x=vt
Or 2x=1500×1
⟹ x=750 m