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AP EAMCET · PHYSICS · Motion In Two Dimensions

If mass, speed and radius of the circular path of the particle are increased by \(100 \%\), then the necessary force required to maintain the circular path will have to be increased by

  1. A \(100 \%\)
  2. B \(250 \%\)
  3. C \(300 \%\)
  4. D \(400 \%\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(300 \%\)

Step-by-step Solution

Detailed explanation

Centripetal force is given as \(F=\frac{m v^2}{r}\) where, \(m=\) mass, \(v=\) velocity and \(r=\) radius. \(\frac{F_2}{F_1}=\frac{m_2}{m_1} \cdot\left(\frac{v_2}{v_1}\right)^2 \cdot\left(\frac{r_1}{r_2}\right)\) ...(i) When, mass, speed and radius of circular path of particle…