A simple pendulum of length 1 m has a wooden bob of mass 1 kg. It is struck by a bullet of mass $10 ^ { - 2 } \mathrm {~kg}$ moving with a speed of $2 \times 10 ^ { 2 } \mathrm {~m} \mathrm {~s} ^ { - 1 }$. The bullet gets embedded into the bob. The height to which the bob rises before swinging back is. (use $g = 10 \mathrm {~m} \mathrm {~s} ^ { - 2 }$)
(1) 0.30 m
(2) 0.20 m
(3) 0.35 m
(4) 0.40 m