Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Work Power Energy

Question:

Two particles of masses m1 , m2 move with initial velocities u1 and u2 . On collision, one of the particles get excited to higher level, after absorbing energy \(\epsilon\). If final velocities of particles be v1 and v2 then we must have :

Options:

\(\frac{1}{2}m_1u_1^2 + \frac{1}{2}m_2u_2^2 = \frac{1}{2}m_1v_1^2 + \frac{1}{2}m_2v_2^2\)

\(\frac{1}{2}m_1u_1^2 + \frac{1}{2}m_2u_2^2 - \epsilon = \frac{1}{2}m_1v_1^2 + \frac{1}{2}m_2v_2^2\)

\(\frac{1}{2}m_1u_1^2 + \frac{1}{2}m_2u_2^2 + \epsilon = \frac{1}{2}m_1v_1^2 + \frac{1}{2}m_2v_2^2\)

\(m_1u_1^2 + m_2u_2^2 = m_1v_1^2 + m_2v_2^2\)

Correct Answer:

\(\frac{1}{2}m_1u_1^2 + \frac{1}{2}m_2u_2^2 - \epsilon = \frac{1}{2}m_1v_1^2 + \frac{1}{2}m_2v_2^2\)

Explanation:

KEi - excitation energy = KE

⇒ \(\frac{1}{2}m_1u_1^2 + \frac{1}{2}m_2u_2^2 - \epsilon = \frac{1}{2}m_1v_1^2 + \frac{1}{2}m_2v_2^2\)