MCQ
An organ pipe of length $L$ is open at one end and closed at other end. The wavelengths of the three lowest resonating frequencies that can be produced by this pipe are
  • A
    $4L,\,\, 2L,\,\, L$
  • B
    $2L,\,\, L,\,\, L/2$
  • C
    $2L,\,\, L,\,\, 2L/3$
  • $4L,\,\, 4L/3,\,\, 4L/5$

Answer

Correct option: D.
$4L,\,\, 4L/3,\,\, 4L/5$
d
$\mathrm{L}=(2 \mathrm{n}-1) \frac{\lambda}{4}$

$\lambda=\frac{4 \mathrm{L}}{(2 \mathrm{n}-1)} \Rightarrow \lambda_{1}=\frac{4 \mathrm{L}}{2(1)-1}=4 \mathrm{L}$

$\lambda_{2}=\frac{4 \mathrm{L}}{4-1}=\frac{4 \mathrm{L}}{3}$ and $\lambda_{3}=\frac{4 \mathrm{L}}{6-1}=\frac{4 \mathrm{L}}{5}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions