Question

a ship sends a sound wave to the bottom of the sea and recieves an echo after 0.3 sec. assume the sound in water to be 1500m/s. calculate the depth of the sea​

Answer 1

Given:-

• Time taken to reach echo = 0.3sec
• Speed of sound in water = 1500m/s

Find:-

• Depth of the sea

Solution:-

Let's denote distance with (d) here, distance will be doubled because the sound travel from ship to the sea bed and then back to the sea. So, total distance = 2d

we, know that

$\huge{\underline{\boxed{\sf Distance = Speed \times Time}}}$

where,

• Distance, d = 2d
• Speed, s = 1500m/s
• Time, t = 0.3sec

So,

$\mapsto\sf d = s \times t$

$\mapsto\sf 2d = 1500 \times 0.3$

$\mapsto\sf 2d = 1500 \times \dfrac{3}{10}$

$\mapsto\sf 2d = 150\times 3$

$\mapsto\sf 2d = 450$

$\mapsto\sf d = \dfrac{450}{2}$

$\mapsto\sf d = 225m$

$\small{ \therefore \underline{\sf d = 225m}}$

Hence, Depth of the sea will be 25m