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

The given graph shows the variation of the restoring force F developed in a spring as a function of its displacement x from its natural length. Based on the graph, what is the spring constant of the spring, and what will be the restoring force when the displacement is x = +5 cm ?

Options

  1. A500 N m ⁻¹ and -25 N
  2. B500 N m ⁻¹ and +25 N
  3. C5 N m ⁻¹ and -0.25 N
  4. D50 N m ⁻¹ and -2.5 N

Correct answer

A. 500 N m ⁻¹ and -25 N

Step-by-step solution

From the given graph, the restoring force F and displacement x follow the relation F = -kx , where k is the spring constant. At x = -2 cm = -0.02 m , the restoring force is F = 10 N . Substituting these values into the equation: 10 = -k(-0.02) k = 10 0.02 = 500 N m ⁻¹ To find the restoring force when the displacement is x = +5 cm = +0.05 m : F = -kx = -500 0.05 = -25 N Thus, the spring constant is 500 N m ⁻¹ and the restoring force is -25 N . Answer: 500 N m ⁻¹ and -25 N

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