A stationary particle explodes into two particles of masses m₁ and m₂ which more in opposite direction with velocities v₁ and v₂ . The ratio of their kinetic energies E₁ / E₂ is:

Step-by-step solution

According to law of conservation of linear momentum aligned & m₁ v₁=m₂ v₂ (i) & E₁= 1 2 m₁ v₁^2, E₂= 1 2 m₂ v₂^2 & E₁ E₂ = 1 2 m₁ v₁^2 1 2 m₂ v₁^2 = (m₁ v₁ )^2 (m₂ v₂ )^2 m₂ m₁ & E₁ E₂ = m₂ m₁ aligned