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Physics · PYQ NEET UG 2019(2)
हिन्दीA particle of mass \( 5m \) at rest suddenly breaks on its own into three fragments. Two fragments of mass \( m \) each move along mutually perpendicular direction with speed \( v \) each. The energy released during the process is,
Correct answer · Option 1
\( \frac{4}{3}mv^2 \)
Explanation
Mass of third fragment is \( 3m \). By conservation of momentum, \( p_3 = \sqrt{(mv)^2 + (mv)^2} = \sqrt{2}mv \). Final kinetic energy \( K_f = \frac{1}{2}mv^2 + \frac{1}{2}mv^2 + \frac{(\sqrt{2}mv)^2}{2(3m)} = mv^2 + \frac{1}{3}mv^2 = \frac{4}{3}mv^2 \).
