KCET · Physics · Waves and Sound
First overtone frequency of a closed pipe of length ' \( l_{1}{ }^{\prime} \) is equal to \( 2^{\text {nd }} \) hormonic frequency of an open pipe of length ' \( l_{2} \) '. The ratio \( \frac{l_{1}}{l_{2}} \) is
- A \( \frac{3}{4} \)
- B \( \frac{4}{3} \)
- C \( \frac{3}{2} \)
- D \( \frac{2}{3} \)
Answer & Solution
Correct Answer
(A) \( \frac{3}{4} \)
Step-by-step Solution
Detailed explanation
Given, first overtone frequency of closed pipe of length \( l_{1}=2^{\text {nd }} \) harmonic frequency of on open pipe of length \( l_{2} \)
Now, first overtone frequency of close pipe \( \frac{3 u}{4 l_{1}} \)
\( 2^{\text {nd }} \) harmonic frequency of open pipe \( =\frac{2 u}{2 l_{2}} \)
\( \therefore \frac{3 u}{4 l_{1}}=\frac{2 u}{2 l_{1}} \)
On rearranging, we get
\( \frac{l_{1}}{l_{2}}=\frac{3 u}{4} \times \frac{1}{u}=\frac{3}{4} \)
Therefore, ratio is \( \frac{l_{1}}{l_{2}}=\frac{3}{4} \).
Now, first overtone frequency of close pipe \( \frac{3 u}{4 l_{1}} \)
\( 2^{\text {nd }} \) harmonic frequency of open pipe \( =\frac{2 u}{2 l_{2}} \)
\( \therefore \frac{3 u}{4 l_{1}}=\frac{2 u}{2 l_{1}} \)
On rearranging, we get
\( \frac{l_{1}}{l_{2}}=\frac{3 u}{4} \times \frac{1}{u}=\frac{3}{4} \)
Therefore, ratio is \( \frac{l_{1}}{l_{2}}=\frac{3}{4} \).
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A piece of copper is to be shaped into a conducting wire of maximum resistance. The suitable length and diameter are and respectively.KCET 2017 Hard
- The ratio of the magnitudes of electric field to the magnetic field of an electromagnetic wave is of the order ofKCET 2023 Easy
- When a potential difference of \(10^{3} \mathrm{~V}\) is applied between \(A\) and \(B\), a charge of \(0.75 \mathrm{mC}\) is value of \(\mathrm{C}\) is (in \(\mu \mathrm{F}\) )
KCET 2013 Medium - For what distance is ray optics is good approximation when the aperture is \( 4 \mathrm{~mm} \) and the
wavelength of light is \( 400 \mathrm{~nm} \) ?KCET 2016 Medium - If \(\mathrm{n}\) is the orbit number of the electron in a hydrogen atom, the correct statement among the following isKCET 2012 Easy
- The waves set up in a closed pipe areKCET 2017 Easy
More PYQs from KCET
- A correct statement isKCET 2014 Easy
- The correct IUPAC name of
KCET 2021 Easy - You are given a dipole of charge \(+q\) and \(-q\) separated by a distance 2R. A sphere 'A' of radius ' \(R\) ' passes through the centre of the dipole as shown below and another sphere ' \(B\) ' of radius ' \(2 R\) ' passes through the charge +q . Then the electric flux through the sphere \(A\) is
KCET 2025 Easy - Which of the following hormones does not contain a polypeptide?KCET 2009 Hard
- In the reaction; \( \mathrm{F} e(\mathrm{OH})_{3}(\mathrm{~s}) \rightleftharpoons \mathrm{F} e^{3+}(a q)+3 \mathrm{OH}^{-}(a q) \), if the concentration of \( \mathrm{OH}^{-} \)ions is
decreased by \( \frac{1}{4} \) times, then the equilibrium concentration of \( F e^{3+} \) will increase by,KCET 2016 Medium - Let \(\boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R}\) be defined by \(f(x)=3 x^2-5\) and \(g: R \rightarrow R\) by \(g(x)=\frac{x}{x^2+1}\), then \(g \circ f\) isKCET 2023 Easy