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NEET2004PhysicsLaws of MotionActual

Two springs of spring constant k₁ and k₂ are joined in series. The effective spring constant of the combination is given by:

Options

  1. Ak₁ k₂
  2. B(k₁+k₂ ) / 2
  3. Ck₁+k₂
  4. Dk₁ k₂ / (k₁+k₂ )

Correct answer

D. k₁ k₂ / (k₁+k₂ )

Step-by-step solution

When the spring joined in series the total extension of spring is: aligned & y=y₁+y₂= -F k₁ - F k₂ & y=- F [ 1 k₁ + 1 k₂ ] & Spring constant k= k₁ k₂ k₁+k₂ aligned

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