Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202314 May 2023Evening ShiftPhysicsLaws of MotionActual

A light spring is suspended with mass m₁ at its lower end and its upper end fixed to a rigid support. The mass is pulled down a short distance and then released. The period of oscillation is T second. When a mass m ₂ is added to m₁ and the system is made to oscillate, the period is found to be 3 2 ~T . The ratio m ₁: m ₂ is

Options

  1. A2:3
  2. B3:4
  3. C4:5
  4. D5:6

Correct answer

C. 4:5

Step-by-step solution

The time period is T m array ll & T 3 = m ₁ m ₁+ m ₂ & 2 3 = m ₁ m ₁+ m ₂ & 4 9 = m ₁ ~m ₁+ m ₂ & 4 ~m ₁+4 ~m ₂=9 ~m ₁ & 5 ~m ₁=4 ~m ₂ & m ₁ ~m ₂ = 4 5 array

Practice Laws of Motion on Quantrex Academy →

More from Laws of Motion

A block of metal, of 25g mass moves down without acceleration when the plane is inclined at an angle of 30^ . When the inclination is increased by 30^ , find the downward accelerat 2026A man weighs 80 kg. He stands on a weighing scale in a lift which is moving upwards with a uniform acceleration of 6 m/s ^2 . What would be his weight in kg? ( g = 10 m/s ^2 ) 2026A mass M is hung with a light inextensible string as shown in figure. Find the tension of the horizontal string. 2026A horizontal force of 5 N is applied on a stationary body of mass 5 kg, which is initially at rest on a frictionless table. The change in kinetic energy of the body in 10 s is 2026The apparent weight of a girl of mass 30 kg when she is in a lift moving vertically upwards with an acceleration of 2 ~ms ⁻² is (Acceleration due to gravity =10 ~m ~s ⁻² ) 2025If a stone of mass 0.5 kg tied to one end of a wire is whirled in a circular path of radius 2 m with a speed 40 rev / min in a horizontal plane, then the tension in the wire is nea 2025If the breaking strength of a rope is 4 3 times the weight of a person, then the maximum acceleration with which the person can safely climb up the rope is (g - accelereation due t 2025A block of mass 2 kg is placed on a rough horizontal surface. If a horizontal force of 20 N acting on the block produces an acceleration of 7 ~m ~s ⁻² in it, then the coefficient o 2025 Full Laws of Motion list All MHT CET PYQs