Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If speed of sound in air in $330 \mathrm{~m} \mathrm{~s}^{-1}$, then find the number of overtones present in an open organ pipe of length $1 \mathrm{~m}$ whose frequency $f \leq 1000$
PhysicsWaves and SoundAIIMSAIIMS 2019 (25 May)
Options:
  • A $2$
  • B $4$
  • C $8$
  • D $6$
Solution:
1283 Upvotes Verified Answer
The correct answer is: $6$
Fundamental frequency,
$\begin{aligned} & v=\frac{v}{2 \ell}=\frac{330}{2 \times 1}=165 \mathrm{~Hz} \\ & \therefore \text { Number of overtones allowed }=\frac{1000}{165}=6\end{aligned}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.