A 320 HZ tuning fork is resonating in a closed tube on a day when the speed of sound is 335 m/s. what is the length of the closed tube?

0.26 m
0.24 m
0.96 m
1.05 m

Respuesta :

v=fλ

λ= 335 m/s/320 Hz= 1.05 m

Answer: The length of the closed tube is 1.05 m

Explanation:

Wave speed is defined as the product of its wavelength and frequency.

Mathematically,

[tex]\text{Wave speed}=\lambda\times \nu[/tex]

where,

[tex]\lambda [/tex] = length of the closed tube = ?

[tex]\nu [/tex] = frequency of the tuning fork = 320 Hz = [tex]320s^{-1}[/tex]

Speed of the sound wave = 335 m/s

Putting values in above equation, we get:

[tex]335m/s=\lambda\times 320s^{-1}\\\\\lambda=\frac{335m/s}{320s^{-1}}=1.05m[/tex]

Hence, the length of the closed tube is 1.05 m

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