Question

A tunning fork makes 256 vibrations per second in air . If the speed of sound is 330m/s , what is the wavelength of sound?

Answer 1

Answer:

• Wavelength of sound = 1.289 meters. (approx.)

Explanation:

Given

• Tuning fork makes 256 vibrations per second in air
• Speed of sound is given, c = 330 m/s

To find

• Wavelength of sound, λ =?

Formula required:

• wavelength frequency formula

      λ = c / v

[ Where λ is wavelength (in metres), c is speed of wave (in metre per second), v is frequency of wave (in hertz) ]

Solution:

Given that,

Tuning fork makes 256 vibrations per second, and Frequency is known as the number of vibrations made per second., therefore

• Frequency of tuning fork, v = 256 hertz

Now,

Using wavelength frequency formula

→ wavelength = speed of wave / frequency of wave

→ λ = c / v

→ λ = 330 / 256

→ λ = 1.289 m [approx.]

Therefore,

• Wavelength of sound is 1.289 meters. (approximately).

Answer 2

GIVEN :-

• A tunning fork makes 256 vibrations per second in air .

• The speed of sound is 330m/s .

TO FIND :-

• The wavelength of sound .

SOLUTION :-

$\huge\green\star$ $\bf\pink{\lambda\:=\:\dfrac{c}{\nu}\:}$

Where,

• $\bf\red{\lambda}$ = Wavelength

• $\bf\red{c}$ = Speed of sound

• $\bf\red{\nu}$ = Frequency

☯︎ According to the question,

• $\bf\red{c}$ = 330 m/s

• $\bf\red{\nu}$ = 256 vibration per second

$\rm{:\implies\:\lambda\:=\:\dfrac{330}{256}\:}\:$

$\bf\blue{:\implies\:\lambda\:=\:1.289\:m\:\approx\:1.29\:m}\:$

$\huge\red\therefore$ The wavelength of sound is "1.29m" .