Question

if a sound wave travels with a frequency of 1.25 × 104 hz at 344 ms-1. find the wavelenght of the wave .​

Answer 1

Answer:

• 0.027 m is the required wavelength

Explanation:

Given:-

• Speed of Sound ,v = 344 m/s
• Frequency ,f = 1.25 × 10⁴ Hz

To Find:-

• Wavelength, λ

Solution:-

As we have to calculate the wavelength of the wave . Using Formula

• v = fλ

where,

• v denote speed of sound
• f denote frequency
• λ denotes wavelength

Substitute the value we are

→ 344 = 1.25 × 10⁴ × λ

→ 344 = 12500 × λ

→ λ = 344/12500

→ λ = 0.027 m = 2.7 cm

• Hence, the wavelength of the sound is 0.027 m

Answer 2

Answer:

Given :-

• A sound wave travels with a frequency of 1.25 × 10⁴ Hz at 344 m/s.

To Find :-

• What is the wavelength of the wave.

Formula Used :-

To find wavelength we know that,

★ λ = v/f ★

where,

• λ = Wavelength
• v = Velocity
• f = Frequency

Solution :-

Given :

• Velocity or speed of sound = 344 m/s
• Frequency = 1.25 × 104 Hz

According to the question by using the formula we get,

⇒ λ = 344/1.25 × 10⁴

⇒ λ = 344/1.25 × 10000

⇒ λ = 344/12500

⇒ λ = 86/3125

➠ λ = 0.027 m

∴ The wavelength of the wave is 0.027 m .

✪ Extra Information ✪

❖ Wavelength :-

• Wavelength is the distance between two adjacent points in a wave.
• Wavelength is inversely proportional to frequency.

❖ Speed of sound :-

• Speed of sound is defined as the dynamic propagation of sound waves.
• Speed of sound is used for describing the speed of sound waves in an elastic medium.

❖ Frequency :-

• The number of oscillation per unit time is called frequency.
• It is used for defining the cycle process like rotation, oscillation, wave etc.