JEE Mains · Physics · STD 11 - 13. oscillations
Two bodies A and B of equal mass are suspended from two massless springs of spring constant \(k_1\) and \(k_2\), respectively. If the bodies oscillate vertically such that their amplitudes are equal, the ratio of the maximum velocity of \(A\) to the maximum velocity of \(B\) is _______.
- A \(\frac{\mathrm{k}_1}{\mathrm{k}_2}\)
- B \(\sqrt{\frac{\mathrm{k}_1}{\mathrm{k}_2}}\)
- C \(\sqrt{\frac{\mathrm{k}_2}{\mathrm{k}_1}}\)
- D \(\frac{\mathrm{k}_2}{\mathrm{k}_1}\)
Answer & Solution
Correct Answer
(B) \(\sqrt{\frac{\mathrm{k}_1}{\mathrm{k}_2}}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \mathrm{V}_1=\mathrm{A}_1 \omega_1 \\ & \mathrm{~V}_2=\mathrm{A}_2 \omega_2 \\ & \mathrm{~A}_1=\mathrm{A}_2 \\ & \frac{\mathrm{~V}_1}{\mathrm{~V}_2}=\frac{\omega_1}{\omega_2}=\frac{\sqrt{\frac{\mathrm{K}_1}{\mathrm{~m}}}}{\sqrt{\frac{\mathrm{~K}_2}{\mathrm{~m}}}…
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 square shaped hole of side \(l=\frac{a}{2}\) is carved out at a distance \(d =\frac{ a }{2}\) from the centre \('O'\) of a uniform circular disk of radius \(a\). If the distance of the centre of mass of the remaining portion from \(O\) is \(-\frac{a}{X},\) value of \(X\) (to the nearest integer) is.......
JEE Mains 2020 Hard - The size of the images of an object, formed by a thin lens are equal when the object is placed at two different positions 8 cm and 24 cm from the lens. The focal length of the lens is ___________ cm.JEE Mains 2026 Medium
- A block of mass \(2\,kg\) moving on a horizontal surface with speed of \(4\,ms ^{-1}\) enters a rough surface ranging from \(x =0.5\,m\) to \(x =1.5\,m\). The retarding force in this range of rough surface is related to distance by \(F =- kx\) where \(k =12\,Nm ^{-1}\). The speed of the block as it just crosses the rough surface will be ........... \(\,ms ^{-1}\)JEE Mains 2022 Hard
- Match List - \(I\) with List - \(II\).
Choose the correct answer from the options given below :List - \(I\) \((Number)\) List - \(II\) \((Significant figure)\) \((A)\) \(1001\) \((I)\) \(3\) \((B)\) \(010.1\) \((II)\) \(4\) \((C)\) \(100.100\) \((III)\) \(5\) \((D)\) \(0.0010010\) \((IV)\) \(6\) JEE Mains 2024 Hard - In the given circuit, value of \(Y\) is
JEE Mains 2020 Medium - Given below are two statements Statement \(I\) : The electric force changes the speed of the charged particle and hence changes its kinetic energy: whereas the magnetic force does not change the kinetic energy of the charged particle Statement \(II\) : The electric force accelerates the positively charged particle perpendicular to the direction of electric field. The magnetic force accelerates the moving charged particle along the direction of magnetic field. In the light of the above statements, choose the most appropriate answer from the options given belowJEE Mains 2022 Medium
More PYQs from JEE Mains
- A wire of density \(9 \times 10^{-3} \,kg\, cm ^{-3}\) is stretched between two clamps \(1\, m\) apart. The resulting strain in the wire is \(4.9 \times 10^{-4}\). The lowest frequency of the transverse vibrations in the wire is......\(HZ\) (Young's modulus of wire \(Y =9 \times 10^{10}\, Nm ^{-2}\) ), (to the nearest integer),JEE Mains 2020 Hard
- The charge flowing in a conductor changes with time as \(Q ( t )=\alpha t -\beta t ^2+\gamma t ^3\). Where \(\alpha, \beta\) and \(\gamma\) are constants. Minimum value of current is :JEE Mains 2023 Medium
- A vector \(\vec n\) is inclined to \(x-\) axis at \(45^o\), to \(y-\) axis at \(60^o\) and at an acute angle to \(z-\) axis. If \(\vec n\) is a normal to a plane passing through the point \(\left( {\sqrt 2 , - 1,1} \right)\) then the equation of the plane isJEE Mains 2013 Hard
- Consider the line \(\mathrm{L}\) passing through the points \((1,2,3)\) and \((2,3,5)\). The distance of the point \(\left(\frac{11}{3}, \frac{11}{3}, \frac{19}{3}\right)\) from the line \(\mathrm{L}\) along the line \(\frac{3 x-11}{2}=\frac{3 y-11}{1}=\frac{3 z-19}{2}\) is equal to :JEE Mains 2024 Hard
- A parallel beam of light of wavelength \(900\,nm\) and intensity \(100\,Wm ^{-2}\) is incident on a surface perpendicular to the beam. Tire number of photons crossing \(1\,cm ^{2}\) area perpendicular to the beam in one second is :JEE Mains 2022 Medium
- In photo electric effect \(A.\) The photocurrent is proportional to the intensity of the incident radiation. \(B.\) Maximum Kinetic energy with which photoelectrons are emitted depends on the intensity of incident light. \(C.\) Max. \(K.E\) with which photoelectrons are emitted depends on the frequency of incident light. \(D.\) The emission of photoelectrons require a minimum threshold intensity of incident radiation. \(E.\) Max. K.E of the photoelectrons is independent of the frequency of the incident light. Choose the correct answer from the options given below:JEE Mains 2023 Medium