Question

The frequency of a note played on a piano is 262 Hz. Given that the velocity of sound at 20°C is 343 m/s, what is the wavelength of the note?

Answer 1

Answer:

Explanation:

The equation for frequency is

$f=\frac{v}{\lambda}$ where

f = frequency, v is velocity, and lambda is wavelength. Filling in:

$262=\frac{343}{\lambda}$ and

$\lambda=\frac{343}{262}$ so

$\lambda=1.31m$

Answer 2

The wavelength of the note played on the piano is 1.31m.

Given the data in the question;

• Frequency of the note played on a piano; $f = 262Hz = 262s^{-1}$

• Velocity; $v = 343m/s$

Wavelength of the note; $\lambda = \ ?$

Wavelength

Wavelength is simply referred to as the spatial period of a periodic wave i.e when the shapes of waves are repeated, the distance over which they are repeated is called wavelength. It is expressed as;

$\lambda = \frac{v}{f}$

Where v is velocity and f is frequency

We substitute our given values into the expression above;

$\lambda = \frac{v}{f} \\\\\lambda = \frac{343m/s}{262s^{-1}} \\\\\lambda = 1.309m\\\\\lambda = 1.31m$

Therefore, the wavelength of the note played on the piano is 1.31m.

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