A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2 : 1 . The ratio of their nuclear size will be

Question

A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2 : 1 . The ratio of their nuclear size will be, 2 1 3 : 1, 1 : 3 1 2, 3 1 2 : 1, 1 : 2 1 3

MARKS App · Accepted Answer

According to the law of conservation of momentum, we get m 1 v 1 = m 2 v 2 Or m 1 m 2 = v 2 v 1 But m = 4 3 π r 3 ρ o r m ∝ r 3 ⇒ m 1 m 2 = r 1 2 r 2 3 ∴ r 1 3 r 2 3 = v 2 v 1 = 1 2 ⇒ r 1 r 2 = 1 2 1 3 ∴ r 1 : r 2 = 1 : 2 1 3

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