Question

sound waves travel with the speed of
about 30 m/sec. calculate the wavelength
of sound whose frequency is 550hz​

Answer 1

Given: 

⇒ Speed of sound wave, V = 330m/s

⇒ Frequency of sound wave, μ = 550Hz

To find:

⇒ Wavelength of sound wave,  λ = ?

⇒ Time period of sound wave, T = ?

Solution:

⇒ Wavelength = Velocity/ Frequency

⇒ i.e, λ = V/μ 

⇒ λ = 330/550 

⇒ λ = 33/55

⇒ λ = 3/5

⇒ ∴λ = 0.6m

⇒ Time period = 1/ Wavelength

⇒T = 1/μ 

⇒ T = 1/550

⇒ ∴T = 0.00182s

⇒ Thus, wavength (λ) of the sound wave = 0.6m and

⇒ Time period (T) of the sound wave  = 0.00182s

Answer 2

⠀⠀ || ✪ ϙᴜᴇsᴛɪᴏɴ ✪ ||

sound waves travel with the speed of about 30 m/sec. calculate the wavelength of sound whose frequency is 550hz .

$\bold{\red{\:Given\:here\:=\begin{cases} 30 m/sec & \text{Speed of Wavelength} \\ 550 Hz & \text{Frequency}\end{cases}}}$

⠀⠀ || ✪.ANSWER.✪ ||

We know, Relation between Wavelengt , frequency and velocity (Speed)

$\bold{\green{\boxed{\boxed{\:Wavelength\:=\frac{(Velocity)}{(Frequency)}}}}}$.

$\bold{\red{\:Where\:=\begin{cases} f & \text{Frequency} \\ V& \text{Velocity}\\ \lambda & \text{wavelength}\end{cases}}}$

we know, frequency and velocity both have good units .

Keep value of , Velocity and Frequency

$\implies\:(Wavelength)\:=\frac{(33)}{(550}$

$\implies\:(Wavelength)\:=\:0.6 m$

$\bold{\red{\underbrace{Thus:-}}}$

$\bold{\underline{:wavelength(\lambda)\:of\:sound\:wave}}$

$\red{\bold{\boxed{\boxed{\lambda:=\:0.6 m}}}}$

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