Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2026
Exam
NEET
Year
2026
Subject
Physics
Chapter
Chapter

NEET 2026 · Physics · Chapter

A light helical spring is compressed by 2 cm when a horizontal...

A light helical spring is compressed by 2 cm2\text{ cm} when a horizontal force of 40 N40\text{ N} is applied to it. A block of mass 5 kg5\text{ 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 s3.14\text{ s}
  2. B0.157 s0.157\text{ s}
  3. C0.314 s0.314\text{ s}
  4. D0.0314 s0.0314\text{ s}

Correct answer

C. 0.314 s0.314\text{ s}

Step-by-step solution

The spring constant kk is given by the restoring force per unit extension.

k=Fx=400.02=2000 N/mk = \dfrac{F}{x} = \dfrac{40}{0.02} = 2000\text{ N/m}

The time period of simple harmonic motion for a spring-mass system is given by:

T=2πmkT = 2\pi \sqrt{\dfrac{m}{k}}

Substituting the given values m=5 kgm = 5\text{ kg} and k=2000 N/mk = 2000\text{ N/m}:

T=2π52000T = 2\pi \sqrt{\dfrac{5}{2000}}

T=2π1400T = 2\pi \sqrt{\dfrac{1}{400}}

T=2π×120T = 2\pi \times \dfrac{1}{20}

T=π10T = \dfrac{\pi}{10}

T=3.1410=0.314 sT = \dfrac{3.14}{10} = 0.314\text{ s}

Answer: 0.314 s0.314\text{ s}
Practice Chapter on Quantrex Academy →

More from Chapter

A solid spherical body of radius R , density ρ , and specific heat capacity s is… NEET 2026A straight canal has motorboats departing from two terminals at opposite ends. The… NEET 2026A wooden crate is released from rest at the top of a ramp inclined at 37^ ∘ to the… NEET 2026A uniform horizontal beam of mass 6 kg and length L is hinged to a vertical wall at one… NEET 2026A bullet P of mass 30 g moving with a speed of 200 m/s penetrates a target and comes to… NEET 2026A small block of mass m is placed at the highest point of a smooth fixed sphere of radius… NEET 2026A block of mass 2 kg is projected with an initial speed of 14 m/s on a rough horizontal… NEET 2026A uniform horizontal circular disc of mass M and radius R is rotating freely about a… NEET 2026 Full Chapter list All NEET PYQs