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Two identical balls \( A \) and \( B \), each of mass
\( 2 \mathrm{~kg} \) and radius \( R \), are suspended vertically
from inextensible strings as shown in
figure. The third ball \( C \) of mass \( 1 \mathrm{~kg} \) and
radius \( r=(\sqrt{2}-1) R \) falls and hits \( A \) and \( B \)
symmetrically with \( 10 \mathrm{~m} / \mathrm{s} \). Speed of both
The value of coefficient of restitution is
(1) \( \frac{1}{4} \)
(2) \( \frac{1}{\sqrt{2}} \)
(3) \( \sqrt{2}-1 \)
(4) \( \frac{1}{2} \)
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