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Physics · MOTION IN A STRAIGHT LINE

हिन्दी

A body is released from rest from a great height and falls freely under gravity. The ratio of the distance covered by the body in the \( 1^{\text{st}} \), \( 2^{\text{nd}} \), \( 3^{\text{rd}} \), and \( 4^{\text{th}} \) second of its fall is:

  1. 1 : 2 : 3 : 4
  2. 1 : 3 : 5 : 7
  3. 1 : 4 : 9 : 16
  4. 1 : 8 : 27 : 64

Correct answer · Option 2

1 : 3 : 5 : 7

Explanation

Distance in \( n^{\text{th}} \) second \( D_n = \frac{1}{2}g(2n-1) \). For \( n = 1, 2, 3, 4 \), the distances are in ratio \( 1 : 3 : 5 : 7 \) (Galileo's law of odd numbers).
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