JEE Mains · Physics · STD 11 - 13. oscillations
For a simple harmonic motion in a mass spring system shown, the surface is frictionless. When the mass of the block is \(1\,kg\), the angular frequency is \(\omega_1\). When the mass block is \(2\,kg\) the angular frequency is \(\omega_2\). The ratio \(\omega_2 / \omega_1\) is
- A \(\sqrt{2}\)
- B \(\frac{1}{\sqrt{2}}\)
- C \(2\)
- D \(\frac{1}{2}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{\sqrt{2}}\)
Step-by-step Solution
Detailed explanation
\(\omega=\sqrt{\frac{ k }{ m }}\) \(\frac{\omega_2}{\omega_1}=\sqrt{\frac{ m _1}{ m _2}}=\sqrt{\frac{1}{2}}\)
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
- Assuming in forward bias condition there is a voltage drop of 0.7 V across a silicon diode, the current through diode \(D _1\) in the circuit is ___________mA . (Assume all diodes in the given circuit are identical)
JEE Mains 2026 Hard - A wire of length \(L\) and radius \(r\) is clamped rigidly at one end. When the other end of the wire is pulled by a force \(f\), its length increases by \(l\). Another wire of same material of length \(2 L\) and radius \(2 r\) is pulled by a force \(2 f\). Then the increase in its length will beJEE Mains 2023 Medium
- A parallel plate capacitor with area \(200\,cm^2\) and separation between the plates \(1.5\,cm\), is connected across a battery of \(emf\) \(V\). If the force of attraction between the plates is \(25\times10^{-6}\,N\), the value of \(V\) is approximately........\(V\) \(\left( {{\varepsilon _0} = 8.85 \times {{10}^{ - 12}}\,\frac{{{C^2}}}{{N{m^2}}}} \right)\)JEE Mains 2018 Hard
- A parallel plate capacitor of capacitance \(90\ pF\) is connected to a battery of \(emf\) \(20\ V\). If a dielectric material of dielectric constant \(K = \frac{5}{3}\) is inserted between the plates, the magnitude of the induced charge will be.......\(n \) \(C\)JEE Mains 2018 Medium
- The de-Broglie wavelength \(({\lambda _B})\) associated with the electron orbiting in the second excited state of hydrogen atom is related to that in the ground state \(({\lambda _G})\) byJEE Mains 2018 Medium
- A lift of mass \(M =500\,kg\) is descending with speed of \(2\,ms ^{-1}\). Its supporting cable begins to slip thus allowing it to fall with a constant acceleration of \(2\,ms ^{-2}\). The kinetic energy of the lift at the end of fall through to a distance of \(6 m\) will be \(...........kJ.\)JEE Mains 2023 Medium
More PYQs from JEE Mains
- Let \(f\) and \(g\) be twice differentiable functions on \(R\) such that \(f^{\prime \prime}(x)=g^{\prime \prime}(x)+6 x\) \(f^{\prime}(1)=4 g^{\prime}(1)-3=9\) \(f(2)=3 g(2)=12\) Then which of the following is NOT true ?JEE Mains 2023 Hard
- Let \(PQ\) be a double ordinate of the parabola, \(y^2\, = - 4x\), where \(P\) lies in the second quadrant. If \(R\) divides \(PQ\) in the ratio \(2 : 1\) then the locus of \(R\) isJEE Mains 2015 Hard
- Four capacitor each of capacitance \(16 \mu \mathrm{~F}\) are connected as shown in the figure. The capacitance between points A and B is : ______ (in \(\mu \mathrm{F}\)).
JEE Mains 2025 Easy - Let \(A=\{1,3,4,6,9\}\) and \(B=\{2,4,5,8,10\}\). Let \(R\) be a relation defined on \(A \times B\) such that \(R =\) \(\left\{\left(\left(a_1, b_1\right),\left(a_2, b_2\right)\right): a_1 \leq b_2\right.\) and \(\left.b_1 \leq a_2\right\}\). Then the number of elements in the set \(R\) isJEE Mains 2023 Hard
- The half-life of a radioactive element \(A\) is the same as the mean-life of another radioactive element \(B.\) Initially both substances have the same number of atoms, thenJEE Mains 2013 Medium
- If a point \(R (4, y, z)\) lies on the line segment joining the points \(P (2, -3, 4)\) and \(Q (8, 0, 10)\), then the distance of \(R\) from the origin isJEE Mains 2019 Hard