JEE Main202628 January 2026Evening ShiftPhysicsOscillationsActual
As shown in the figure, a spring is kept in a stretched position with some extension by holding the masses 1 kg and 0.2 kg with a separation more than spring natural length and are released. Assuming the horizontal surface to be frictionless, the angular frequency (in SI unit) of the system is : k=150 ~N / m
Options
- A5
- B27
- C20
- D30
Correct answer
D. 30
Step-by-step solution
Two masses (1 kg and 0.2 kg) connected by a spring (k = 150 N/m) on a frictionless surface undergo oscillation about their center of mass. This two-body problem reduces to SHM with reduced mass = m₁ m₂ m₁ + m₂ = 1 0.2 1.2 = 1 6 kg. The angular frequency is = k = 150 1/6 = 900 = 30 rad/s.