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AP EAMCET · PHYSICS · Work Power Energy

A particle attached to a string of length \(r\) is moving on vertical circular path continuously. If the speed of the particle at the highest point is \(\sqrt{7 \mathrm{gr}}\), then the ratio of the respective tension in the string holding it at the highest and the lowest points is ( \(\mathrm{g}=\) acceleration due to gravity)

  1. A \(1: 1\)
  2. B \(1: 2\)
  3. C \(1: 7\)
  4. D \(1: \sqrt{7}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1: 2\)

Step-by-step Solution

Detailed explanation

The given situation is shown in the figure At highest point \(A\), \[ v_A=\sqrt{7 g r} \] \(T_d\) and \(T_s\) are tensions in the string when particle is at highest position \((A)\) and lowest position \((B)\). \(\therefore\) At point \(A\).…