MHT CET · Physics · Waves and Sound
A cylindrical tube open at both ends, has a vibrating air column of fundamental frequency ' \(\mathrm{f}\) ' in air. The tube is dipped vertically in water so that half of its is in water. The fundamental frequency of the vibrating air column is now
- A f
- B \(\frac{\mathrm{f}}{2}\)
- C \(\frac{3 \mathrm{f}}{2}\)
- D 2f
Answer & Solution
Correct Answer
(A) f
Step-by-step Solution
Detailed explanation
\(v=\lambda f\)
Fundamental frequency's \(\lambda=\frac{v}{f} \Rightarrow f_0=\frac{v}{2 L}=f\)
If the tube is dipped half into liquid then it acts as if closed at \(\frac{\mathrm{L}}{2}\).
See figure
The frequency can be written as \(\mathrm{f}_{\mathrm{c}}=\frac{\mathrm{v}}{\lambda_1}=\frac{\mathrm{v}}{2 \mathrm{~L}}=\mathrm{f}\)
\(\therefore\) Fundamental frequency would remain the same ' \(\mathrm{f}\) '.
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
- In a Wheatstone bridge, three resistance \(P, Q\) and \(R\) are connected in the three arms and the fourth arm is formed by two resistances \(S_1\) and \(S_2\) connected in parallel. The condition for the bridge to be balanced isMHT CET 2021 Medium
- In hydrogen atom, an electron of charge a revolves in a orbit radius r with speed v. Then, magnetic moment associated with electron isMHT CET 2019 Hard
- In a potentiometer experiment, the balancing length for a cell \(240 \mathrm{~cm}\). On shunting the cell with a resistance of \(2 \Omega\), the balancing length become half the initial balancing length. The internal resistance of the cell isMHT CET 2021 Easy
- When alternating current is passed through L-R series circuit, the power factor is \(\frac{\sqrt{3}}{2}\) and \(R=50 \Omega\), then the value of \(L\) is
\(\left[\cos \frac{\pi}{6}=\frac{\sqrt{3}}{2}, \quad \sin \frac{\pi}{6}=\frac{1}{2}, \quad \tan \frac{\pi}{6}=\frac{1}{\sqrt{3}}\right]\)MHT CET 2025 Medium - Two small drops of mercury each of radius 'R' coalesce to form a large single drop.
The ratio of the total surface energies before and after the change isMHT CET 2020 Medium - A wire of length ' \(L\) ' carries a current ' \(I\) '. If the wire is turned into a square coil of single turn, the maximum magnitude of the torque in a given magnetic field ( \(\overrightarrow{\mathrm{B}}\) ) isMHT CET 2025 Medium
More PYQs from MHT CET
- A pure Si crystal has \(4 \times 10^{28}\) atoms per \(\mathrm{m}^3\). It is doped by \(1 \mathrm{ppm}\) concentration of antimony. The number of free electrons available will beMHT CET 2023 Medium
- Which among the following gases is least adsorbed on solid at similar conditions of temperature and pressure?MHT CET 2025 Easy
- ' \(n\) ' waves are produced on a string in 1 second. When the radius of the string is doubled, keeping tension same, the number of waves produced in 1 second for the same harmonic will beMHT CET 2021 Medium
- Which among the following is a pair of monocarboxylic acids?MHT CET 2023 Easy
- Arithmetic growth can be expressed mathematically by the formula Lt = Lo + rt, where Lt stands for ________.MHT CET 2025 Medium
- If \(\mathrm{a} \sin \theta=\mathrm{b} \cos \theta\), where \(\mathrm{a}, \mathrm{b} \neq 0\), then \(\mathrm{a} \cos 2 \theta+\mathrm{b} \sin 2 \theta=\)MHT CET 2021 Medium