Two masses m, and m, moving with velocities `v_a and v_b` in opposite direction collide elastically and after the collision `m_a and m_b` move with velocities `v_b and v_a` respectively. Then the ratio `(m_a)/(m_b)` is

Options

A. `((v_a - v_b)/(v_a + v_b))`
B. `(v_a + v_b)/(v_a + v_b)`
C. `1`
D. `1/2`

Answer

C

Explanation

As velocities are exchanged on perfectly elastic collision , therefore , masses of two objects must be equal.
`:. (m_a)/(m_b) = 1 " or " m_a = m_b`