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⚛️ Physics  ·  Oscillations  ·  NEET & JEE

Two springs k1 and k2 are attached to a block between two walls. The block is displaced and released. The effective spring constant is:

Answer: k1 + k2.

  • A k1 + k2
  • B k1 k2/(k1+k2)
  • C (k1 - k2)/2
  • D k1 k2

Correct answer: A. k1 + k2

Explanation: When a block is between two walls with springs on each side, both springs act in the same restoring direction when displaced. keff = k1 + k2 (parallel combination).

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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