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TS EAMCET · Physics · Motion In Two Dimensions

If the radii of circular paths of two particles of same mass are in the ratio of \(1: 2\), then to have a constant centripetal force, the ratio of their speeds should be

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

Answer & Solution

Correct Answer

(B) \(1: \sqrt{2}\)

Step-by-step Solution

Detailed explanation

Centripetal force \(F=\frac{m v^2}{R}\) or \(v=\sqrt{\frac{F R}{m}}\) or , \(v \propto \sqrt{R}\) as mass ' \(m\) ' and force ' \(F\) ' is constant. \(\frac{R_1}{R_2}=\frac{1}{2}\)…
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