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JIPMER 2004
Exam
JIPMER
Year
2004
Subject
Physics
Chapter
Oscillations

JIPMER 2004 · Physics · Oscillations

The spring extends by x on loading, then energy stored by the...

The spring extends by xx on loading, then energy stored by the spring is (if TT is the tension in spring and kk is spring constant)

Options

  1. AT22k\frac{T^2}{2 k}
  2. BT22k2\frac{T^2}{2 k^2}
  3. C2kT2\frac{2 k}{T^2}
  4. D2T2k\frac{2 T^2}{k}

Correct answer

A. T22k\frac{T^2}{2 k}

Step-by-step solution

The energy stored in the spring is E=12kx2…E=\frac{1}{2} k x^2 \quad \ldots (i) and expansion in the spring is x=Tk…x=\frac{T}{k} \quad \ldots (ii) From equations (i) and (ii), we get E=12kT2k2=12T2k=T22kE=\frac{1}{2} k \frac{T^2}{k^2}=\frac{1}{2} \frac{T^2}{k}=\frac{T^2}{2 k}
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