A tuning fork vibrates with frequency 256 Hz and gives one beat per second with the third normal mode of vibration of an open pipe. What is the length of the pipe ? (Speed of sound in air is 340 ms-1)

Question

A tuning fork vibrates with frequency 256 Hz and gives one beat per second with the third normal mode of vibration of an open pipe. What is the length of the pipe ? (Speed of sound in air is 340 ms-1) (A) 220 cm (B) 190 cm (C) 180 cm (D) 200 cm

Tardigrade Admin · Accepted Answer

Given: Frequency of tuning fork =256 Hz. It gives one beat per second with the third normal mode of vibration of an open pipe. Therefore, frequency of open pipe =(256+1) Hz Speed of sound in air is 340 m / s. Now we know, frequency of third normal mode of vibration of an open pipe is given as f=(3 v text sound /2 l) ⇒ (3 × 340/2 l)=255 ⇒ l=(3 × 340/2 × 255)=2 m =200 cm

Q. A tuning fork vibrates with frequency 256Hz and gives one beat per second with the third normal mode of vibration of an open pipe. What is the length of the pipe ? (Speed of sound in air is 340ms−1)

220 cm

190 cm

180 cm

200 cm

Q. A tuning fork vibrates with frequency $256 Hz$ and gives one beat per second with the third normal mode of vibration of an open pipe. What is the length of the pipe ? (Speed of sound in air is $340 m s^{- 1}$ )