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Physics · MOTION IN A STRAIGHT LINE

हिन्दी

A body released from rest under gravity falls freely through height \( h \). It covers a distance \( h_1 \) in the first second and a distance \( h_2 \) in the second second. Taking \( g = 9.8\text{ m s}^{-2} \), what is the ratio \( h_1 : h_2 \)?

  1. \( 1 : 1 \)
  2. \( 1 : 2 \)
  3. \( 1 : 3 \)
  4. \( 1 : 4 \)

Correct answer · Option 3

\( 1 : 3 \)

Explanation

For free fall from rest, distance in \( n^{\text{th}} \) second is \( h_n = \frac{1}{2} g (2n - 1) \). For \( n = 1 \), \( h_1 = 0.5 g \). For \( n = 2 \), \( h_2 = 1.5 g \). Thus \( h_1 : h_2 = 1 : 3 \).
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