Question

What is the speed of a wave if it has a wavelength of
42 m and a frequency of 7 hertz?

Answer 1

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`\large{ \red{ \tt{Step - By - Step \: Explanation}}}`

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`\underline{ \underline{ \blue{ \large{ \tt{G \: I \: V \: E\: N}}}}} :`

• Frequency ( f ) = 7 Hertz
• Wavelength ( λ ) = 42m

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`\underline {\underline{ \orange{ \large{ \tt{T \: O \: \: F \: I \: N\: D}}}} }:`

• Wave velocity ( v )

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`\underline{ \underline{ \large{ \pink{ \tt{S\: O \: L \: U \: T\: I \: O \: N}}}}}:`

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`\red{ \boxed{ \large{ \purple{ \sf{Wave \: velocity(v) = Frequency(f) * Wavelength(λ)}}}}}`

~Plug the known values and then multiply!

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`\large{ \tt{7 * 42}}`

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`\boxed{ \boxed{ \large{ \bold{ \tt{294 \: m {s}^ {- 1} }}}}}`

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`\large{ \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \underline{ \large{ \tt{294 \: m {s}^( - 1)}}}}}}}}`

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`\underline{ \large{ \red{ \tt{D\: E\: T \: A \: I \: L\: E \: D \: \: I\: N \: F \: O}}}} :`

• Frequency ( f ) : The number of complete waves , set up in a medium in one second is called frequency of the wave. The SI unit of frequency is Hertz ( Hz ). For example : if a sound wave completes 15 compressions and 15 rarefactions in one second , it's frequency is 15 Hz.

• Wavelength ( λ ) : The distance between two consecutive troughs or crests in a transverse wave or the distance between two consecutive compressions or rarefactions in a longitudinal wave us called wavelength. It is the distance travelled by a wave in a time equal to it's time period. It's SI unit is metre ( m ).

• Wave velocity ( v ) : The velocity with which a wave propagates in a medium is called wave velocity. It's SI unit is m/s.

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