A ball of mass \( 0.2 \mathrm{~kg} \) rests on a vertical post of height \( 5 \mathrm{~m} \). A bullet of mass \( 0.01 \mathrm{~kg} \), travelling with a velocity \( v \mathrm{~m} / \mathrm{s} \) in a horizontal direction, hits the centre of the ball. After the collision, the ball and bullet
\( \mathrm{P} \)
W travel independently. The ball hits the ground at a distance of \( 20 \mathrm{~m} \) and the bullet at a distance of \( 100 \mathrm{~m} \) from the foot of the post. The initial velocity \( v \) of the bullet is
(2011)
(a) \( 250 \mathrm{~m} / \mathrm{s} \)
(b) \( 250 \sqrt{2} \mathrm{~m} / \mathrm{s} \)
(c) \( 400 \mathrm{~m} / \mathrm{s} \)
(d) \( 500 \mathrm{~m} / \mathrm{s} \)
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