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TS EAMCET · Physics · Motion In One Dimension

\(A, B, C\) are points in a vertical line such that \(A B=B C\). If a body falls freely from rest at \(A, t_1\) and \(t_2\) are times taken to travel distances \(A B\) and \(B C\), then ratio \(\left(t_2 / t_1\right)\) is

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

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

If a body falls freely from rest at \(A\). Then, time taken to travel from \(A\) to \(B\) (time taken) \[ t_1=\sqrt{\frac{2 h}{8}} \] Time taken to travel from \(B\) to \(C\) (time taken)…
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