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Physics · WORK, ENERGY AND POWER

हिन्दी

A ball of mass \( m \) is dropped from rest from the top of a cliff of height \( H \). The height above the ground at which the kinetic energy of the ball is three times its potential energy (taking ground as zero reference) is:

  1. \( \frac{2H}{3} \)
  2. \( \frac{H}{3} \)
  3. \( \frac{3H}{4} \)
  4. \( \frac{H}{4} \)

Correct answer · Option 4

\( \frac{H}{4} \)

Explanation

Total energy is \( E = mgH = K + V \). Given \( K = 3V \), we have \( 3V + V = mgH \implies 4mgh = mgH \implies h = H/4 \).
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