A steel ball of radius 2cm is initially at rest. It is struck head on by another steel ball of radius 4cm travelling with a velocity of 81 cm/ s. If the collision is elastic their respective final velocities are

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63 cm/s, 144 cm/s

144 cm/s, 63 cm/s

19 cm/s, 100 cm/s

100 cm/s, 19 cm/s

answer is B.

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Detailed Solution

As mass m = $ρ$ (volume) = $ρ \frac{4}{3} {πr}^{3}$

$m \propto r^{3} so, v_{1} = (\frac{{r_{1}}^{3} - {r_{2}}^{3}}{{r_{1}}^{3} + {r_{2}}^{3}}) u_{1} and v_{2} = \frac{{2 r_{1}}^{3} u_{1}}{{r_{1}}^{3} + {r_{2}}^{3}}$

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