Question

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

Answer 1

v=fλ

λ= 335 m/s/320 Hz= 1.05 m

Answer 2

Answer: The length of the closed tube is 1.05 m

Step-by-step explanation:

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

Mathematically,

`\text{Wave speed}=\lambda* \\u`

where,

`\lambda` = length of the closed tube = ?

`\\u` = frequency of the tuning fork = 320 Hz =
`320s^(-1)`

Speed of the sound wave = 335 m/s

Putting values in above equation, we get:

`335m/s=\lambda* 320s^(-1)\\\\\lambda=(335m/s)/(320s^(-1))=1.05m`

Hence, the length of the closed tube is 1.05 m