Mass of a particle and a hemisphere are \( m \) and \( 3 m / 2 \) respectively. Particle hits th...

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Mass of a particle and a hemisphere are \( m \) and \( 3 m / 2 \) respectively. Particle hits the hemisphere (at rest on smooth surface) with a horizontal velocity \( v_{0} \) and rebounds in vertical direction after collision (neglect friction), if the value of \( \theta \) (in degree) (collision is elastic):
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