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AP EAMCET · PHYSICS · Oscillations

As shown in the figure, two blocks of masses \(m_1\) and \(\mathrm{m}_2\) are connected to a spring of force constant k . The blocks are slightly displaced in opposite directions to \(\mathrm{x}_1\), \(x_2\) distances and released. If the system executes simple harmonic motion, then the frequency of oscillation of the system ( \(\omega\) ) is

  1. A \(\left(\frac{1}{m_1}+\frac{1}{m_2}\right) k^2\)
  2. B \(\sqrt{\left(\frac{1}{m_1}+\frac{1}{m_2}\right) k^2}\)
  3. C \(\sqrt{\left(\frac{1}{m_1}+\frac{1}{m_2}\right)}\)
  4. D \(\sqrt{\left(\frac{1}{m_1}+\frac{1}{m_2}\right) k}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\sqrt{\left(\frac{1}{m_1}+\frac{1}{m_2}\right) k}\)

Step-by-step Solution

Detailed explanation

\(\mu=\frac{m_1 m_2}{m_1+m_2}\) \(\therefore\) Frequency of oscillation is…
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