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⚛️ Physics  ·  Oscillations  ·  NEET & JEE

The displacement x = 5 sin(10t + π/6) cm. What is the initial phase?

Answer: π/6 rad.

  • A π/6 rad
  • B 10 rad
  • C 5 rad
  • D π/3 rad

Correct answer: A. π/6 rad

Explanation: In x = A sin(ωt + φ), the initial phase (phase at t=0) is φ = π/6 rad = 30°.

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 →