NTA Abhyas JEE Main2020PhysicsWork, Power and EnergyPractice
A particle is released from a height h , At a certain height; its kinetic enegy is two times its potential energy. Height and speed of the particle at that instant are
Options
- Ah 3 , 2 g h 3
- Bh 3 , 2 g h 3
- C2 h 3 2 g h 3
- Dh 3 , 2 g h
Correct answer
B. h 3 , 2 g h 3
Step-by-step solution
Total mechanical energy= m g h As, K E P E = 2 1 K E = 2 3 m g h and P E = 1 3 m g h Height from the ground at this instant, h , = h 3   and speed of the particle at this instant, v = 2 g h - h ′ = 2 g 2 h 3   = 2 g h 3