MHT CET · Physics · Waves and Sound
The frequency of vibrating air column in a pipe, open at both ends is \(f_1\). When \(\left(\frac{3}{4}\right)^{\text {th }}\) of its length is immersed in water, the frequency of vibrating air column is \(f_2\). The value of \(\frac{f_1}{f_2}\) is
- A \(\frac{4}{3}\)
- B \(\frac{2}{1}\)
- C \(\frac{1}{2}\)
- D \(\frac{3}{4}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{2}\)
Step-by-step Solution
Detailed explanation
Open pipe frequency, \(f_1=\frac{v}{2 L}\)
Frequency, \(f_2=\frac{v}{4(L / 4)}\)
( \(\because\) when \(3 / 4^{\text {th }}\) of length is dipped, it acts as closed pipe of length \(\frac{1}{4}\) of length)
So, \(\frac{f_1}{f_2}=\frac{v / 2 L}{v / 4(L / 4)}=\frac{1}{2}\)
Frequency, \(f_2=\frac{v}{4(L / 4)}\)
( \(\because\) when \(3 / 4^{\text {th }}\) of length is dipped, it acts as closed pipe of length \(\frac{1}{4}\) of length)
So, \(\frac{f_1}{f_2}=\frac{v / 2 L}{v / 4(L / 4)}=\frac{1}{2}\)
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
- If ' \(N\) ' is the number of turns in a circular coil, the value of its self-inductance varies asMHT CET 2022 Easy
- In hydrogen atom in its ground state, the first Bohr orbit has radius ' \(r_1{ }^{\prime}\). When the atom is raised to one of its excited states, the electrons orbital velocity becomes one-third. The radius of that orbit isMHT CET 2025 Medium
- If ' \(R\) ' is the radius of earth \& ' \(g\) ' is acceleration due to gravity on earth's surface, then mean density of earth isMHT CET 2024 Easy
- A metal disc of radius ' \(\mathrm{R}\) ' rotates with an angular velocity ' \(\omega\) ' about an axis perpendicular to its plane passing through its centre in a magnetic field of induction ' \(\mathrm{B}\) ' acting perpendicular to the plane of the disc. The induced e.m.f. between the rim and axis of the disc is (magnitude only)MHT CET 2022 Hard
- The average value of alternating current over a complete cycle isMHT CET 2012 Easy
- Two identical ideal diodes are connected to an ammeter and a d.c source (1 volt) as shown. In which one of the following circuits, ammeter will not show any defection?
MHT CET 2021 Hard
More PYQs from MHT CET
- A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring balance reads \(49 \mathrm{~N}\), when the lift is stationary. If the lift moves downward with an acceleration of \(5 \mathrm{~m} / \mathrm{s}^2\), the reading of the spring balance will be \(\left(\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2\right)\)MHT CET 2023 Hard
- Sodium crystallises in bcc structure with radius \(1 \cdot 86 \times 10^{-8} \mathrm{~cm}\). Calculate the edge length of unit cell?MHT CET 2020 Easy
- If \(I=\int_0^{\frac{\pi}{4}} \log (1+\tan x) d x\), then value of \(I\) isMHT CET 2024 Medium
- A sample of gas at temperature \(\mathrm{T}\) is adiabatically expanded to double its volume. The work done by the gas in the process is \(\left(\frac{\mathrm{C}_{\mathrm{P}}}{\mathrm{C}_{\mathrm{V}}}=\gamma=\frac{3}{2}\right)(\mathrm{R}=\) gas constant \()\)MHT CET 2023 Hard
- Xenon crystallizes in fcc lattice and the edge length of unit cell is \(620 \mathrm{pm}\). What is the radius of Xe atom?MHT CET 2020 Easy
- Which one of the following statement is CORRECT?MHT CET 2016 Easy