Question

a sound wave has a frequency of 1000 hertz and wavelength of 50 cm how long will it take to travel a distance of 500m?​

Answer 1

Given:-

→ Frequency of the wave = 1000 Hz

→ Wavelength = 50 cm

→ Distance = 500 m

To find:-

→ Time taken by the sound wave to travel given distance.

Solution:-

Firstly, let's convert the unit wavelength from cm to m.

⇒ 1 cm = 0.01 m

⇒ 50 cm = 50(0.01)

⇒ 0.5 m

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Let's calculate the speed of sound the wave. We have the formula :-

υ = νλ

⇒ υ = 1000(0.5)

⇒ υ = 500 m/s

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Now, we know that :-

Time = Distance/Speed

⇒ Time = 500/500

⇒ Time = 1 second

Thus, the sound wave will take 1 second to travel a distance of 500 m.

Answer 2

f = frequency of sound wave = 1000 Hz

λ = wavelength of sound wave = 50 cm = 0.50 m

V = speed of sound wave

speed of sound wave is given as

V = f λ

inserting the values

V = 1000 x 0.50

V = 500 m/s

D = distance traveled = 500 m

t = time taken by sound wave

time taken by sound wave is given as

t = D/V

inserting the values

t = 500/500

t = 1 sec

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I HOPE IT'S HELPFUL TIME = 1 SECOND :)