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TS EAMCET · Physics · Oscillations

Consider a simple harmonic motion (SHM). Let \(K\) and \(U\) be kinetic energy and potential energy when the displacement in SHM is one-half \(\left(\frac{1}{2}\right)\) the amplitude. Which of the correct statement?

  1. A \(\frac{K}{U}=1\)
  2. B \(\frac{K}{U}=\frac{1}{2}\)
  3. C \(\frac{K}{U}=\frac{4}{3}\)
  4. D \(\frac{K}{U}=3\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{K}{U}=3\)

Step-by-step Solution

Detailed explanation

Potential energy of a body performing SHM is given by \(U=\frac{1}{2} k x^2\) Here, \(x\) is the displacement of the body from mean position. Given, \(x=\frac{a}{2}\) [ \(a=\) amplitude \(]\)…
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