Conservation of Kinetic Energy?

2 identical masses a a and b b hang freely on strings of equal length. Mass a is brought to a height of H H above its initial free hanging position and released, eventually striking mass b b . Both masses stick together upon collision. What is the maximum height reached by masses a a and b b after collision?

H 2 \frac H2 H H H 4 \frac H4 None of these choices

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