Respuesta :

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{77 \: m/s}}}}[/tex]

Question :

  • How fast is a wave travelling if it has a wavelength of 7 meters and a frequency of 11 Hz?

☯ [tex] \underbrace{ \sf{Required \: Answer : }}[/tex]

Given :

  • Wavelength ( λ ) = 7 meters
  • Frequency ( f ) = 11 Hz

To find :

  • Speed of sound ( v ) = ?

☄ We know ,

[tex] \boxed{ \sf{v = f \times λ}}[/tex]

where ,

  • v = speed of sound
  • f = frequency
  • λ = wavelength

Now, substitute the values and solve for v.

➺ [tex] \sf{v = 11 \times 7}[/tex]

➺ [tex] \boxed{ \sf{v = 77 \: m/s}}[/tex]

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Additional Info :

  • Frequency : The number of complete vibrations made by a particle of a body in one second is called it's frequency. It is denoted by the letter f . The SI unit of frequency is hertz ( Hz ).

  • Wavelength : The distance between two consecutive compressions or rarefactions of a sound wave is called wavelength of that wave. It is denoted by λ ( lambda ) and it's SI unit is m.

  • Speed of a sound wave : The distance covered by a sound wave in one second is called speed of sound wave. It depends on the product of wavelength and frequency of the wave.

Hope I helped!

Have a wonderful time! ツ

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