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⚛️ Physics  ·  Oscillations  ·  NEET & JEE

A mass on a spring has period T. If the mass is quadrupled, the new period is:

Answer: 2T.

  • A T/2
  • B T
  • C 2T
  • D 4T

Correct answer: C. 2T

Explanation: T ∝ √m, so 4× mass gives √4 = 2T.

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.

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