A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is 1 : 2 1 / 3 . Their respective speed have a ratio of n : 1 . The value of n is_________

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Using the law of Momentum conservation m 1 v 1 + m 2 ( - v 2 ) = 0 ⇒ m 1 v 1 = m 2 v 2 ⇒ m 1 m 2 = v 2 v 1 ⇒ 4 π ρ r 3 1 3 4 π ρ r 3 2 3 = v 2 v 1 It is given r 1 r 2 = 1 2 1 3 and r 1 r 2 3 = v 2 v 1 Therefore , 1 2 = v 2 v 1 ⇒ v 1 v 2 = 2 1

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