Question

- A standing wave is produced in a tube open at both ends. The fundamental frequency is 300Hz. What is the length of tube? (speed of sound =340m/s)​

Answer 1

Answer:

• Length of tube = 0.567 metres

Explanation:

Given:

• Standing wave is produced in an open ends tube
• Fundamental freqency, n = 300 Hz
• Speed of sound wave, v = 340 m/s

To find:

• Length of the tube, L =?

Formula required:

• The formula for fundamental frequency or first harmonic frequency

          n = v / ( 2 L )

[ where n is the fundamental frequency, v is wave speed & L is the length of string ]

Solution:

Using formula for fundamental frequency

→ n = v / ( 2 L )

→ 2 L = v / n

→ L = v / ( 2 n )

→ L = ( 340 ) / ( 2 × 300 )

→ L = 340 / 600

→ L = 0.567  m   [approx.]

Therefore,

• Length of the tube will be 0.567 metres.

Answer 2

Answer:

Question

- A standing wave is produced in a tube open at both ends. The fundamental frequency is 300Hz. What is the length of tube? (speed of sound =340m/s)

To find

Length of tube

Given

• Fundamental frequency = 300Hx
• Speed of sound = 340 metre per second

Solution

➡️ N = V/ ( 2 L)

➡️ 2L = V/N

➡️ L = v /(2 n)

➡️ L = 340/600

➡️ L = 0.567 M (Approximate)

$\small \fbox {Length of pipe = 0.567 m }$

Hope it helps