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Physics · MOTION IN A STRAIGHT LINE

हिन्दी

To measure reaction time, a student's friend drops a ruler vertically from rest between the student's fingers. The student catches the ruler after it travels a distance of \( 19.6\text{ cm} \). Taking \( g = 9.8\text{ m/s}^2 \), the reaction time of the student is:

  1. \( 0.2\text{ s} \)
  2. \( 0.1\text{ s} \)
  3. \( 0.4\text{ s} \)
  4. \( 0.02\text{ s} \)

Correct answer · Option 1

\( 0.2\text{ s} \)

Explanation

Formula \( d = \frac{1}{2} g t_r^2 \implies t_r = \sqrt{\frac{2d}{g}} \). Here \( d = 0.196\text{ m} \), \( g = 9.8\text{ m/s}^2 \). So \( t_r = \sqrt{\frac{2 \times 0.196}{9.8}} = \sqrt{0.04} = 0.2\text{ s} \).
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