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AP EAMCET · PHYSICS · Laws of Motion

Two objects having masses \(1: 4\) ratio are at rest. When both of them are subjected to same force separately, they achieved same kinetic energy during times \(t_1\) and \(t_2\) respectively. Then ratio of \(t_1\) to \(t_2\) is

  1. A \(4\)
  2. B \(2\)
  3. C \(2.5\)
  4. D \(1\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2\)

Step-by-step Solution

Detailed explanation

After time \(\mathrm{t}_1\), \(\mathrm{k}_1=\frac{1}{2} \mathrm{~m} \mathrm{v}_1^2=\frac{1}{2} \mathrm{~m}\left(\mathrm{at}_1\right)^2=\frac{1}{2} \mathrm{ma}^2 \mathrm{t}_1^2\) After time \(t_2\),…