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NEET2004PhysicsOscillationsActual

The spring extends by x on loading, then energy stored by the spring is (if T is the tension in spring and k is spring constant)

Options

  1. AT^2 2 k
  2. BT^2 2 k^2
  3. C2 k T^2
  4. D2 T^2 k

Correct answer

A. T^2 2 k

Step-by-step solution

The energy stored in the spring is E= 1 2 k x^2 (i) and expansion in the spring is x= T k (ii) From equations (i) and (ii), we get E= 1 2 k T^2 k^2 = 1 2 T^2 k = T^2 2 k

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