A wave with a frequency of 500 Hz is traveling at a speed of 200 m/s.

1.	A wave with a frequency of 500 Hz is traveling at a speed of 200 m/s. What is the wavelength
Answer» $\blue{\bold{\underline{\underline{Answer:}}}}$ $\green{\tt{\therefore{Wavelength=0.4\:m}}}$ $\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$ $\green{\underline \bold{<klux>GIVEN</klux> :}} \\ \tt: \implies Frequency(F) = 500 \: hz \\ \\ \tt: \implies Speed(V) = 200 \: ms \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Wavelength( \lambda) = ?$ • ACCORDING to given QUESTION : $\bold{As \: we \: know \: that} \\ \tt: \implies Speed = Frequency \times Wavelength \\ \\ \tt: \implies V = F \lambda \\ \\ \tt: \implies 200 = 500 \times \lambda \\ \\ \tt: \implies \frac{200}{500} = \lambda \\ \\ \tt: \implies \lambda = \frac{2}{5} \\ \\ \green{\tt: \implies \lambda = 0.4 \:m} \\ \\ \green{ \tt \therefore Wavelength \: of \: wave \: is \: 0.4 \: m}$

A wave with a frequency of 500 Hz is traveling at a speed of 200 m/s. What is the wavelength

Answer»

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Wavelength=0.4\:m}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{<klux>GIVEN</klux> :}} \\ \tt: \implies Frequency(F) = 500 \: hz \\ \\ \tt: \implies Speed(V) = 200 \: ms \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Wavelength( \lambda) = ?$

• ACCORDING to given QUESTION :

$\bold{As \: we \: know \: that} \\ \tt: \implies Speed = Frequency \times Wavelength \\ \\ \tt: \implies V = F \lambda \\ \\ \tt: \implies 200 = 500 \times \lambda \\ \\ \tt: \implies \frac{200}{500} = \lambda \\ \\ \tt: \implies \lambda = \frac{2}{5} \\ \\ \green{\tt: \implies \lambda = 0.4 \:m} \\ \\ \green{ \tt \therefore Wavelength \: of \: wave \: is \: 0.4 \: m}$

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