Question

A stationary particle explodes into two particles of masses m₁ and m₂ which move in opposite directions with velocities v₁ and v₂. The ratio of their kinetic energies \(\frac{E_1}{E_2}\) is:

• A. \(\frac{m_2}{m_1}\)
• B. \(\frac{m_1}{m_2}\)
• C. 1
• D. \(\frac{m_1v_2}{m_2v_1}\)

Answer 1

The Correct Option is A

m₁v₁ = m₂v₂ (P₁ = P₂);
\(\frac{E_1}{E_2}=\frac{1}{2}\)
\(\frac{m_1v_1^2}{\frac{1}{2m_2v_2^2}}\)=\(\frac{\frac{P_1^2}{2m_1}}{\frac{P_2^2}{2m_2}}\)=\(\frac{m_2}{m_1}\)