Question

A closed organ pipe has length I. The air in it is vibrating in 3rd overtone with a maximum amplitude of A. Find the amplitude at a distance of $\frac{l}{14}$ from closed end of the pipe

• A. A
• B. zero
• C. $\frac{A}{\sqrt2}$
• D. $\frac{\sqrt3}{2}A$

Answer 1

Answer: (C)

$\frac{A}{\sqrt2}$

Answer 2

$n = \frac{7\nu}{4l} ; \lambda = \frac{4l}{7} \, Y = A \, cos \, k \, x \, sin \, \omega t$ amplitude = $A \, cos \, Kx$