Question

the speed of sound in water is 1500 m/s . how far away from an under- sea rock should a deep sea diver be so, that can hear his own echo? the driver hears echo 3 sec

Answer 1

Answer :

• Distance covered by the sound is 4500 m.

Explanation :

Given :

• Velocity of the sound, v = 1500 m/s
• Time taken to hear the echo, t = 3 s

To find :

• Distance covered by the sound, d = ?

Knowledge required :

By definition, Velocity of sound is the distance per time.

So,

Formula for velocity of sound :

⠀⠀⠀⠀⠀⠀⠀⠀⠀v = d/t⠀

Where,

• v = Velocity of sound
• d = Distance traveled by it.
• t = Time Taken

Solution :

By using the formula for Velocity of sound and substituting the values in it, we get :

⠀⠀=> v = d/t

⠀⠀=> 1500 = d/3

⠀⠀=> 1500 × 3 = d

⠀⠀=> 4500 = d

⠀⠀⠀⠀⠀∴ d = 4500 m

Therefore,

• Distance covered by the sound, d = 4500 m

Answer 2

Given :

• The speed of sound in water is 1500 m/s
• The driver hears echo 3 sec.

To Find :

• Distance covered by the sound

Solution :

We have,

• The speed of sound in water, s = 1500 m/s
• Time taken to hear the echo, t = 3 sec

We know that,

$\therefore \: \underline{\boxed{\sf d = st}}$

Where,

• d = Distance travelled
• s = Speed of sound
• t = Time taken

Substituting the given values we get,

$:\implies \: \: \sf d = 1500 \times 3$

$:\implies \: \: \sf d = 4500$

$\therefore\underline{\sf Distance \: covered \: by \: the \: sound = 4500 \: m}$