WBJEE · Physics · Waves and Sound
A progressive wave moving along \(x\) -axis is represented by \(y=A \sin \left[\frac{2 \pi}{\lambda}(v t-x)\right]\) The
wavelength \((\lambda)\) at which the maximum particle velocity is 3 times the wave velocity is
- A \(\frac{\mathrm{A}}{A}\)
- B \(2 \mathrm{A}(3 \pi)\)
- C \(\left(\frac{3}{4}\right) \pi A\)
- D \((2 / 3) \pi A\)
Answer & Solution
Correct Answer
(D) \((2 / 3) \pi A\)
Step-by-step Solution
Detailed explanation
\(y=A \sin \left[\frac{2 \pi}{\lambda}(v t-x)\right]\) \(v=\frac{2 \pi}{\lambda} V A\) \[ \begin{aligned} \left(v_{p}\right)_{\max } &=3 v \\ \lambda &=\frac{2 \pi}{3} A \end{aligned} \]
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
-
For two types of magnetic materials \(A\) and \(B\), variation of \(\frac{1}{\chi}\) ( \(\chi:\) susceptibility) vs. temperature \(T\) is shown in the figure. ThenWBJEE 2021 Easy - A circular disc rolls on a horizontal Iloor without slipping and the centre of the disc moves with a uniform velocity \(v\). Which of the following values of the velocily at a point on the rim of the disc can have?WBJEE 2015 Medium
- The minimum wavelength of Lyman series lines is \(P\), then the maximum wavelength of these lines isWBJEE 2025 Medium
- A small spherical body of radius \(r\) and density p moves with the terminal velocity \(v\) in a fluid of coefficient of viscosity \(\eta\) and density \(\bar{\sigma}\). What will be the net force on the body?WBJEE 2019 Easy
- When a semiconducting device is connected in series with a battery and a resistance, a current is found to flow in the circuit. If however, the polarity of the battery is reversed, practically no current flows in the circuit. The device may beWBJEE 2017 Easy
- If \(\hat{n}_1, \hat{n}_2\) and \(\hat{t}\) represent, unit vectors along the incident ray, reflected ray and normal to the surface respectively, then
WBJEE 2024 Easy
More PYQs from WBJEE
- If the solution of the differential equation \(x \frac{d y}{d x}+y=x e^{x}\) be \(x y=e^{x} \phi(x)+C,\) then \(\phi(x)\) is equal toWBJEE 2016 Hard
- A sample of hydrogen atom in its ground state is radiated with photons of \(10.2 \mathrm{eV}\) energies. The radiation from the sample is absorbed by excited ionized \(\mathrm{He}^{+}\). Then which of the following statement/s is / are true ?WBJEE 2022 Hard
- Which of the following arrangements is correct in respect of solubility in water?WBJEE 2016 Medium
- A negative charge is placed at the midpoint between two fixed equal positive charges, separated by a distance \(2 d\). If the negative charge is given a small displacement \(x(x< < a)\) perpendicular to the line joining the positive charges, how the force \((F)\) developed on it will approximately depend on \(x ?\)WBJEE 2019 Easy
- The number of alkene (s) which can produce 2 -butanol by the successive treatment of
(i) \(\mathrm{B}_{2} \mathrm{H}_{6}\) in tetrahydrofuran solvent and
(ii) alkaline \(\mathrm{H}_{2} \mathrm{O}_{2}\) solution isWBJEE 2018 Medium - Let \(S=\frac{2}{1}{ }^{n} C_{0}+\frac{2^{2}}{2}{ }^{n} C_{1}+\frac{2^{3}}{3}{ }^{n} C_{2}\) \(+\ldots+\frac{2^{n+1}}{n+1}{ }^{n} C_{n} .\) Then, \(S\) equalsWBJEE 2014 Hard