Question

A note is played on the piano with a frequency of 50hz. Sound travels at 330m/s in the air. what is the wavelength of the note?

Answer 1

Given: A note is played on the piano with a frequency of 50Hz and sound travels at 330m/s in the air.

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Need to find: The wavelength of the note.

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⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀

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${\underline{\boldsymbol{\bigstar\;According\;to\;the\;formula\;:}}}$

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• The wavelength (λ) is the ratio of the velocity of the speed of waves (v) to the frequency of the vibrations (f).

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Therefore,

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$:\implies\sf{λ=\large\dfrac{\:v\:}{\:f\:}}\\\\\\:\implies\sf{λ=\dfrac{330\;m/s}{50\;Hz}}\\\\\\:\implies{\underline{\boxed{\pink{\frak{λ=6.6\;m}}}}}{\;\bigstar}$

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${\underline{\sf{Hence\;the\;wavelength\;of\;the\;note\;is\;\bf{6.6\;m}}.}}$