Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
99 Percentile Qs Bank for JEE MainPhysicsOscillations

A horizontal spring executes S.H.M. with amplitude 'A 1 ', when mass ' m ₁ ^ " is attached to it. When it passes through mean position another mass ' m ₂ ' is placed on it. Both masses move together with amplitude ' A₂ '. Therefore A₂: A₁ is

Options

  1. A[ m ₂ ~m ₁+ m ₂ ]^ 1 / 2
  2. B[ m _ 1+ m ₂ ~m ₁ ]^ 1 / 2
  3. C[ m ₁ ~m ₁+ m ₂ ]^ 1 / 2
  4. D[ m _ 1+ m ₂ ~m ₂ ]^ 1 / 2

Correct answer

C. [ m ₁ ~m ₁+ m ₂ ]^ 1 / 2

Step-by-step solution

At mean position (f_ net =0 ) ( ) Applying conservation of momentum ( aligned & m ₁ v ₁= ( m ₁+ m ₂ ) v ₂ & ~m ₁ ₁ ~A ₁= ( m ₁+ m ₂ ) ₂ ~A ₂ & But ₁= k m₁ & ₂= k m₁+m₂ A₂ & m₁ k m₁ A₁= (m₁+m₂ ) k m₁+m₂ A₂ & A₁ A₂ = m₁+m₂ m₁ & A₂ A₁ = m₁ m₁+m₂ aligned )

Practice Oscillations on Quantrex Academy →

More from Oscillations

A tank contains two immiscible liquids of densities 6 and 2 . The higher density liquid is filled up to a height L/2 from the bottom. A thin rod of density and length L is fully im 2026The frequency of oscillation of a mass m suspended by a spring is v₁ . If the length of the spring is cut to half, the same mass oscillates with frequency v₂ . The value of v₂/v₁ i 2026A spring stretches by 2 mm when it is loaded with a mass of 200 g. From equilibrium position the mass is further pulled down by 2 mm and released. The frequency associated with the 2026A particle is executing simple harmonic motion. Its amplitude is A and time period is 5 sec. The time required by it to move from x = A to x = A 2 is _______ sec. 2026Match List-I with List-II. List-I List-II A. ^2 t I. Periodic with time period T = but not simple harmonic motion (SHM) B. ^3(2 t) II. Periodic with time period T = 2 but Not SHM C 2026A uniform disc of radius R and mass M is free to oscillate about the axis A as shown in the figure. For small oscillations the time period is ______. ( g is acceleration due to gra 2026The velocity of a particle executing simple harmonic motion along x -axis is described as v^2 = 50 - x^2 , where x represents displacement. If the time period of motion is x 7 s, t 2026The equation of motion of a particle is given by x = a (50t + 3 ) cm. The particle will come to rest at time t₁ and it will have zero acceleration at time t₂ . The t₁ and t₂ respec 2026 Full Oscillations list All 99 Percentile Qs Bank for JEE Main PYQs