Question

sound waves of wavelength 0.5cm have a velocity of 340m/s in air. what is their frequency?
​

Answer 1

Explanation:

$\huge\mathtt\star\fbox\red{Answer:-}\star$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$\huge\mathtt\star\fbox\red{Solution:-}\star$

________________________________________

$\mapsto$ $\mathrm\star\fbox\purple{The\ frequency\ is\ 68,000\ Hz}\star$

$\huge\mathtt\star\fbox\red{Explanation:-}\star$

_________________________________________

$\mapsto$ $\Large\mathtt\star\fbox\red{Given:-}\star$

$\mapsto$ $\mathtt{Velocity,\ V}={340\ m\ s}$

$\mapsto$ $\mathtt{Wavelength\ =\ \lambda\ =\ 0.5cm\ =\ 0.005cm}$

$\mapsto$ $\mathtt{Frequency,\ f= ?}$

$\mapsto$ $\Large\mathtt\star\fbox\red{We\ have,}\star$

$\mapsto$ $\mathtt{V\ =\ F.\ \lambda}$

$\mapsto$ $\mathtt{340\ =\ F × 0.005}$

$\mapsto$ $\mathtt{F\ =\ \dfrac{340}{0.005} = 68,000\ Hz}$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$\large\mathtt\star\fbox\purple{Hence,\ the\ required\ answer}\star$

__________________________________________

Answer 2

Given : wave length (λ) = 0.5 cm or 5 x 10⁻³ m

            velocity (v) = 340 m/s

            frequency (υ) = ?

we have the relation :

      v =  λ x υ

⇒ 340 m/s = 5 x 10⁻³ m x υ

⇒  υ = (340 m/s) / (5 x  10⁻³ m)

   ∴ υ = 68000 Hz.

The frequency of sound waves is 68000 Hertz .

HOPE THIS HELPS YOU !!   : )