The displacements of two particles of same mass executing SHM are represented by the equations x₁=4 (10 t+ 6 ) and x₂=5 ( t) . The value of for which the energies of both the particles remain same is

Step-by-step solution

The equation of displacement x₁=4 (10 t+ 6 ) The energy of this equation E₁= 1 2 m ₁^2 a₁^2= 1 2 m 10 10 4 4 The second equation of displacement x₂=5 ( t) The energy of this equation E₂= 1 2 m ₂^2 a₂^2= 1 2 m ₂^2 5 5 E₁=E₂ 1 2 m ₂^2 5 5= 1 2 m 10 10 4 4 ₂^2= 10 10 4 4 5 5 ₂=8 unit