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TS EAMCET · Physics · Oscillations

Three masses \(700 \mathrm{~g}, 500 \mathrm{~g}\) and 400 \(\mathrm{g}\) are suspended at the end of a spring shown in figure and are in equilibrium. When the \(700 \mathrm{~g}\) mass is removed, the system oscillates with a time period of \(3 \mathrm{~s}\). If \(500 \mathrm{~g}\) mass is further removed, then it will oscillate with a period of

  1. A 1s
  2. B 2s
  3. C 3s
  4. D \(\sqrt{\frac{12}{5}} \mathrm{~s}\)
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Answer & Solution

Correct Answer

(B) 2s

Step-by-step Solution

Detailed explanation

Time-period of oscillations, \(T=2 \pi \sqrt{\frac{m}{k}}\) where, \(m=\) mass of the oscillating system and \(\quad k=\) spring constant. Case I \(700 \mathrm{~g}\) mass is removed, then \(m=500 \mathrm{~g}+400 \mathrm{~g}=900 \mathrm{~g}=0.9 \mathrm{~g}\) So,…
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