The coefficient of restitution for a perfect elastic collision is

The coefficient of restitution for a perfect elastic collision is
  1. $1$
  2. $0$
  3. $\infty$
  4. $-1$

Solution

We know that, coefficient of restitution, for collision between two objects is $e=\frac{\mathbf{v}_2-\mathbf{v}_1}{\mathbf{u}_1-\mathbf{u}_2}$ $=\frac{\text { Relative velocity of separation }}{\text { Relative velocity of approach }}$ which gives, $e=1$ (for elastic collision) $e=0$ (for perfectly in-elastic collision) $0 < e < 1$ (for inelastic collision)

Asked in: AP EAMCET 2021 (23 Aug Shift 2)

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