wave_mechanics organ_pipe_vibration_of_air_column Question 42

Question: What is the base frequency if a pipe gives notes of frequencies 425, 255 and 595 and decide whether it is closed at one end or open at both ends

[UPSEAT 2001]

Options:

A) 17, closed

B) 85, closed

C) 17, open

D) 85, open

Show Answer

Answer:

Correct Answer: B

Solution:

Let the base frequency be n for closed pipe then notes are $ n,\ 3n,\ 5n…..

$ note $ 3n=255 $

Therefore $ n=85 $ , note $ 5n=85\times 5=425 $ note $ 7n=7\times 85=595 $