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JEE Main20244 Apr 2024Morning ShiftPhysicsWork, Power and EnergyActual

If a rubber ball falls from a height h and rebounds upto the height of h / 2 . The percentage loss of total energy of the initial system as well as velocity ball before it strikes the ground, respectively, are :

Options

  1. A50 %, 2 gh
  2. B50 %, gh
  3. C40 %, 2 gh
  4. D50 %, gh 2

Correct answer

A. 50 %, 2 gh

Step-by-step solution

aligned & Velocity just before collision = 2 gh & Velocity just after collision = 2 ~g ( h 2 ) & KE = 1 2 ~m (2 gh )- 1 2 mgh & = 1 2 mgh & % loss in energy & = KE KE _ i 100= 1 2 mgh 1 2 mg 2 ~h 100=50 % aligned

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