Zaymiey

⚛️ Physics  ·  Oscillations  ·  NEET & JEE

A mass is attached to two springs of constants k1 and k2 in series. If k1 = k2 = k, the effective constant is:

Answer: k/2.

  • A k/2
  • B 2k
  • C k
  • D k²

Correct answer: A. k/2

Explanation: Series: 1/keff = 1/k + 1/k = 2/k → keff = k/2. Series connection makes the effective spring softer.

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 →