Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEST2024PhysicsOscillations

A body of mass m is subjected to a position dependent force F=-k₁ x-k₃ x^3 , where k₁ and k₃ are positive constants. The motion is bounded with a maximum amplitude A . The motion is analysed by neglecting the cubic term. Then, the most appropriate condition to do this is

Options

  1. Ak₃ 1
  2. Bk₃ A / k₁ 1
  3. Ck₃ k₁
  4. Dk₃ A^2 / k₁ 1

Correct answer

D. k₃ A^2 / k₁ 1

Step-by-step solution

No solution available.

Practice Oscillations on Quantrex Academy →

More from Oscillations

Force constant of interatomic bond, in a certain element, is 7.1 Nm⁻¹ . If the atom oscillates in SHM in a certain direction, what is its frequency? Given: Mole weight of the given 2026An object of mass 10g executes SHM along the x -axis with frequency of ( 10 ) Hz. At the point x = 2 cm the object has KE 1.2 J and PE 0.4 J. The amplitude of oscillation is 2026A simple pendulum of length L , mass m and electric charge q on its bob is oscillating with a time period T under uniform gravity which is in the - z direction. Upon applying a uni 2026A sphere and a cube of equal masses on a horizontal frictionless floor, are confined between two vertical walls, as shown in the figure. The cube is attached to the wall by a massl 2026A mass of 1 kg is executing SHM. Its displacement is given by x = 6.0 (100t + /4) cm. What is the maximum kinetic energy? 2026If the displacement of a particle executing simple harmonic motion is given by x =0.5 (125.6 t ) , then the time period of oscillation of the particle is nearly (Here x is displace 2025The amplitude of a damped harmonic oscilator becomes 50 % of its initial value in a time of 12 s. If the amplitude of the oscillator at a time of 36 s is x % of its initial amplitu 2025If the function ^2 t ( t is time in second) represents a periodic motion, then the period of the motion is 2025 Full Oscillations list All NEST PYQs