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MHT CET202415 May 2024Evening ShiftPhysicsLaws of MotionActual

A spring has length L and force constant K . It is cut into two springs of length L₁ and L₂ such that L ₁= NL ₂ ( N is an integer). The force constant of spring of length L₁ is

Options

  1. A( N +1) K
  2. BK N (1+ N )
  3. CK
  4. DK N +1

Correct answer

B. K N (1+ N )

Step-by-step solution

Given, L ₁= NL ₂...(i) Spring constant, k 1 ~L k ₂= Nk ₁ Before cutting, the springs are connected in series, so aligned 1 ~K & = 1 k ₁ + 1 k ₂ 1 ~K & = 1 k ₁ + 1 Nk ₁ 1 ~K & = N +1 Nk ₁ k ₁ & = K ~N (1+ N ) aligned

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