Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET2026PhysicsChapterActual

A light helical spring is compressed by 2 cm when a horizontal force of 40 N is applied to it. A block of mass 5 kg is then attached to one end of this spring while the other end is fixed to a rigid wall. If the block is set into simple harmonic motion on a frictionless horizontal surface, what is the time period of its oscillation?

Options

  1. A3.14 s
  2. B0.157 s
  3. C0.314 s
  4. D0.0314 s

Correct answer

C. 0.314 s

Step-by-step solution

The spring constant k is given by the restoring force per unit extension. k = F x = 40 0.02 = 2000 N/m The time period of simple harmonic motion for a spring-mass system is given by: T = 2 m k Substituting the given values m = 5 kg and k = 2000 N/m : T = 2 5 2000 T = 2 1 400 T = 2 1 20 T = 10 T = 3.14 10 = 0.314 s Answer: 0.314 s

Practice Chapter on Quantrex Academy →

More from Chapter

A solid spherical body of radius R , density , and specific heat capacity s is initially at temperature T₀ . It is placed in a vacuum chamber at absolute zero and cools by emitting 2026A straight canal has motorboats departing from two terminals at opposite ends. The motorboats depart at regular intervals of T minutes in both directions and travel at a constant s 2026A wooden crate is released from rest at the top of a ramp inclined at 37^ to the horizontal. When the ramp is perfectly smooth, the crate reaches the bottom with a speed v . When t 2026A uniform horizontal beam of mass 6 kg and length L is hinged to a vertical wall at one end. The other end is supported by a light inextensible wire attached to the same wall, maki 2026A bullet P of mass 30 g moving with a speed of 200 m/s penetrates a target and comes to rest after travelling a distance of 10 cm inside it. Another bullet Q of mass 20 g moving wi 2026A small block of mass m is placed at the highest point of a smooth fixed sphere of radius R . It is given a horizontal initial speed v₁ such that it slides down the surface. The bl 2026A block of mass 2 kg is projected with an initial speed of 14 m/s on a rough horizontal surface. The coefficient of kinetic friction between the block and the surface is 0.2 . Afte 2026A uniform horizontal circular disc of mass M and radius R is rotating freely about a vertical axis passing through its center at an angular speed of 40 rpm . Two small blocks, each 2026 Full Chapter list All NEET PYQs