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  4. 92238 U emits 8 (α-particles and 6 ( β -particles. The neutron proton ratio in the product nucleus is

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Q. ${ }_{92}^{238} U$ emits $8$ (\alpha-particles and $6$ ( $\beta$ -particles. The neutron proton ratio in the product nucleus is

AIIMSAIIMS 2005Structure of Atom

Solution:

${ }_{92} U ^{238} \xrightarrow{-8 \alpha}{ }_{76} X^{206}\xrightarrow{-6 \beta}{ }_{82} Y^{206}$
In $Y$, number of protons$=82$
number of neutrons =mass number - number of proton
$=206-82$
$=124$
$\frac{n}{p}=\frac{124}{82}=\frac{62}{41}$