STANDARD Physics Organ Pipes MCQ Question with Solution

The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is

A

13.2 cm

B

8 cm

C

12.5 cm

D

16 cm

Correct Answer

Option A

Detailed Explanation

For a closed organ pipe, the third harmonic is $\frac{3v}{4l}$ . For an open organ pipe, the fundamental frequency is $\frac{v}{2l'}$ . Equating these gives $l' = \frac{2 \times 20}{3} = 13.33$ cm. Thus, the closest option is 13.2 cm.

Found an issue with this question?

Related Questions

More from Waves

The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L metre long. The length of the open pipe will...

Physics

More from

What does the variable 'a' represent in the wave motion equation y(x, t) = a sin(kx - ωt)?

Wave MotionPhysics

A diagram depicts a sinusoidal wave traveling along the positive x-axis. The wave is described by the equation y(x, t) = a sin(kx - ωt + φ). What does...

Wave MotionPhysics

A diagram shows a wave in a solid medium with particles oscillating perpendicular to the direction of wave propagation. Which type of wave is being de...

Transverse & Longitudinal WavesPhysics

Explore More Questions

All Physics Questions Waves Questions