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⚛️ Physics  ·  Oscillations  ·  NEET & JEE

Two springs k<sub>1</sub> and k<sub>2</sub> are attached to a block between two walls. The block is displaced and released. The effective spring constant is:

Answer: k 1 + k 2.

  • A k<sub>1</sub> + k<sub>2</sub>
  • B k<sub>1</sub> k<sub>2</sub>/(k<sub>1</sub>+k<sub>2</sub>)
  • C (k<sub>1</sub> - k<sub>2</sub>)/2
  • D k<sub>1</sub> k<sub>2</sub>

Correct answer: A. k<sub>1</sub> + k<sub>2</sub>

Explanation: When a block is between two walls with springs on each side, both springs act in the same restoring direction when displaced. k<sub>eff</sub> = k<sub>1</sub> + k<sub>2</sub> (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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