Question

A man stands at a distance from a cliff and claps his hands. He receives an echo from the cliff after 4 s. Calculate the distance between the man and the cliff. Assume the speed of sound to be 343 ms-¹ .

Answer 1

$\: \: \boxed{\boxed{\rm{\mapsto \: \: \: Firstly \: let's \: understand \: the \: concept \: used}}}$

According to the question, it is given that A man stands at a distance from a cliff and claps his hands.

and He receives an echo from the cliff after 4s.

we need to Calculate the distance between the man and the cliff by Assume the speed of sound to be 343 ms-1.

if we know the Speed equation , That is Speed (S) = Distance (D) ÷ Time (T)

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★ Formula Used :-

$\: \: \huge\boxed{{\boxed{\rm{speed = \: \frac{distance}{time} }}}}$

$\: \: \huge\boxed{{\boxed{\rm{ \therefore distance = \: speed \times time }}}}$

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★ Question :-

A man stands at a distance from a cliff and claps his hands. He receives an echo from the cliff after 4 s. Calculate the distance between the man and the cliff. Assume the speed of sound to be 343 ms-¹ .

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★ Solution :-

Given,

» A man stand at the distance from a cliff and claps his hand

» Echo receives from the Cliff after = 4sec (time)

» Speed of the sound = 343ms-¹ (speed)

To find ,

» Distance between man and Cliff = 2 × Distance

[ 2 will be multiplied by the distance because when the sound will produce it will return back also ]

Let's apply these values in the formula and find the answer.

⌬ Distance= speed × time

⌬ 2 × D = 343 × 4

⌬ D = 343 × 4/2

⌬ D = 343 × 2

⌬ Therefore the distance, D = 686 m

$\: \: \boxed{\boxed{\bf{\mapsto \: \: \: Hence, \: the \: distance \: between \: the \: man \: and \: the \: cliff \: is \: \: \underline{\underline{686m}}}}}$

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$\: \: \huge{\underline{\tt{\mapsto \: \: Let's \: know \: more \: :-}}}$

What is ECHO ?

• The sound heard after reflection from a rigid obstacle is called an echo .

• The minimum distance to hear an echo is 17m.

Advantages -

• Used in SONAR ( sound navigation and ranging ) to find the depth of the sea .

• Bats locate prey by returning echoes.

• Dolphins also used the returning ecos to locate its prey this is called echolocation .

Answer 2

the distance is 686m.

Hence the distance between the man and the cliff is 686m.