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NEET2004PhysicsOscillationsActual

Two springs are connected to a block of mass M placed on a frictionless surface as shown in the figure. If both the springs have a spring constant k , the frequency of oscillation of the block is

Options

  1. A1 2 k M
  2. B1 2 k 2 M
  3. C1 2 2 k M
  4. D1 2 M k .

Correct answer

B. 1 2 k 2 M

Step-by-step solution

The spring constant of spring connected in series is equal to k_s= k₁ k₂ k₁+k₂ = k 2 (F_ or k=k₂=k ) Thus frequency of oscillation of given system is f= 1 2 k 2 m

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