Zaymiey

⚛️ Physics  ·  Oscillations  ·  NEET & JEE

A spring-mass system oscillates vertically. If mass is increased 4 times, the time period:

Answer: Doubles.

  • A Doubles
  • B Quadruples
  • C Halves
  • D Remains same

Correct answer: A. Doubles

Explanation: T = 2π√(m/k). If m increases 4 times, T increases by √4 = 2 times. The period doubles.

Displacement, Velocity, Acceleration in SHMx(t)v(t)a(t)v leads x by 90°; a is exactly out of phase with x (a = −ω²x)

In SHM, displacement and velocity are 90° out of phase (v is maximum when x=0, and zero when x is extreme), while acceleration is always exactly opposite in sign to displacement, consistent with a = −ω²x.

Concept context

Simple harmonic motion, spring-mass, pendulum, energy in SHM, and resonance.

Read the full Oscillations notes →