[tex]\tt{\huge{\blue{Explanation:}}}[/tex]
The wavelength of a sound wave is given by
[tex]\boxed{\lambda = \frac{v}{f}}[/tex]
where:
λ = wavelength
v = speed of sound
f = frequency
[tex]\tt{\huge{\red{Solution:}}}[/tex]
Solving for the speed of sound at 30°C
v = 331 + 0.6T
v = 331 + 0.6(30)
v = 349 m/s
Solving for the wavelength
[tex]\lambda = \dfrac{v}{f}[/tex]
[tex]\lambda = \dfrac{\text{349 m/s}}{\text{500 Hz}}[/tex]
[tex]\boxed{\lambda = \text{0.698 m}}[/tex]
Therefore, the wavelength of the sound wave is 0.698 m.
[tex]\\[/tex]
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