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Question: <sup>210</sup><sub>84</sub>P<sub>0</sub> originally at rest emits α - particles of KE ‘K’. Find the ...

21084P0 originally at rest emits α - particles of KE ‘K’. Find the KE of recoiling nucleus.

A

4214K\frac{4}{214}K

B

4206K\frac{4}{206}K

C

K206\frac{K}{206}

D

K214K\frac{K}{214}K.

Answer

4206K\frac{4}{206}K

Explanation

Solution

  1. v' = 4v

KE of recoiling nucleus = 12\frac{1}{2} (206) (v')2

= 12(206)(4v206)2orK=4206K\frac{1}{2}(206)\left( \frac{4v}{206} \right)^{2}orK' = \frac{4}{206}K.