Two equal spheres \( B \) and \( C \) each of mass \( m \), are in contact on a smooth horizonta...

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Two equal spheres \( B \) and \( C \) each of mass \( m \), are in contact on a smooth horizontal table.
A third sphere \( A \) of same size
as that of \( B \) or \( C \) but mass \( m / 2 \)
impinges symmetrically on
them with a velocity \( u \) and is itself brought to rest.
The coefficient of restitution between the two spheres \( A \) and \( B \) (or between \( A \) and \( C \) ) is
(1) \( 1 / 3 \)
(2) \( 1 / 4 \)
(3) \( 2 / 3 \)
(4) \( 3 / 4 \)
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