In the Uranium radioactive series,the initial | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The initial nucleus is ${ }_{92}^{238} U$ and the final nucleus is ${ }_{82}^{206} Pb$.Let $n_{\alpha}$ be the number of $\alpha$-particles and $n

Vedclass · Accepted Answer

$8$,$6$

Vedclass · Answer

(B) The initial nucleus is ${ }_{92}^{238} U$ and the final nucleus is ${ }_{82}^{206} Pb$.Let $n_{\alpha}$ be the number of $\alpha$-particles and $n_{\beta}$ be the number of $\beta$-particles emitted.The change in mass number is $238 - 206 = 32$.Since each $\alpha$-particle emission reduces the mass number by $4$,the number of $\alpha$-particles is $n_{\alpha} = \frac{32}{4} = 8$.The change in atomic number is $92 - 82 = 10$.The emission of $8$ $\alpha$-particles would decrease the atomic number by $8 	imes 2 = 16$.Let $n_{\beta}$ be the number of $\beta$-particles. Each $\beta$-particle increases the atomic number by $1$.So,$92 - (8 	imes 2) + n_{\beta} = 82$.$92 - 16 + n_{\beta} = 82$.$76 + n_{\beta} = 82$.$n_{\beta} = 82 - 76 = 6$.Thus,the number of $\alpha$-particles is $8$ and the number of $\beta$-particles is $6$.

In the Uranium radioactive series,the initial nucleus is ${ }_{92}^{238} U$ and the final nucleus is ${ }_{82}^{206} Pb$. When the Uranium nucleus decays to lead,the number of $\alpha$-particles emitted is .......... and the number of $\beta$-particles emitted is ..........

Similar Questions

Beta rays emitted by a radioactive material are

The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter nucleus is an

$A$ nucleus of $_{84}^{210}Po$ originally at rest emits an $\alpha$ particle with speed $v$. What will be the recoil speed of the daughter nucleus?

The nucleus $_{48}^{115}Cd$ after two successive ${\beta ^ - }$ decays will give:

In a radioactive decay chain reaction,${ }_{90}^{230} Th$ nucleus decays into ${ }_{84}^{214} Po$ nucleus. The ratio of the number of $\alpha$ to number of $\beta^{-}$ particles emitted in this process is. . . . .

Vedclass Test Series

Exam Paper Generator

Online Exam Module