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COMEDK2023PhysicsWork, Power and Energy

A long spring, when stretched by a distance x , has potential energy U . On increasing the stretching to n x , the potential energy of the spring will be

Options

  1. AU n
  2. Bn U
  3. Cn^2 U
  4. DU n^2

Correct answer

C. n^2 U

Step-by-step solution

Potential energy of the spring, and U^ = 1 2 k(n x)^2 U^ =n^2 1 2 k x^2 U^ =n^2 U [From Eq. (i)]

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