STANDARDPhysics-Waves

STANDARD Physics Organ Pipes MCQ Question

Type: MCQ-conceptual-Medium-Class 11

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 3v4l\frac{3v}{4l}. For an open organ pipe, the fundamental frequency is v2l\frac{v}{2l'}. Equating these gives l=2×203=13.33l' = \frac{2 \times 20}{3} = 13.33 cm. Thus, the closest option is 13.2 cm.

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