Find the wavelength of a sound wave of freque | vedclass

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Question

(A) The relationship between wave speed $(v)$,frequency $(f)$,and wavelength $(\lambda)$ is given by the formula: $v = f \lambda$. Given: Frequency $f

Vedclass · Accepted Answer

$4.05 	imes 10^{-4} 	ext{ m}$

Vedclass · Answer

(A) The relationship between wave speed $(v)$,frequency $(f)$,and wavelength $(\lambda)$ is given by the formula: $v = f \lambda$. Given: Frequency $f = 4.2 	ext{ MHz} = 4.2 	imes 10^6 	ext{ Hz}$. Speed $v = 1.7 	ext{ km/s} = 1.7 	imes 10^3 	ext{ m/s}$. Rearranging the formula to solve for wavelength: $\lambda = \frac{v}{f} = \frac{1.7 	imes 10^3}{4.2 	imes 10^6} 	ext{ m}$. Calculating the value: $\lambda \approx 0.40476 	imes 10^{-3} 	ext{ m} = 4.0476 	imes 10^{-4} 	ext{ m}$. Rounding to significant figures,we get $\lambda \approx 4.05 	imes 10^{-4} 	ext{ m}$.

Find the wavelength of a sound wave of frequency $4.2 \text{ MHz}$ travelling with a speed of $1.7 \text{ km/s}$.

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