The number of alpha and beta^- particles emit | vedclass

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

Question

(C) Let the number of $\alpha$ particles emitted be $x$ and the number of $\beta^-$ particles emitted be $y$.The decay reaction is: ${}_{88}^{226}Ra \

Vedclass · Accepted Answer

$5\alpha$ and $4\beta^-$

Vedclass · Answer

(C) Let the number of $\alpha$ particles emitted be $x$ and the number of $\beta^-$ particles emitted be $y$.The decay reaction is: ${}_{88}^{226}Ra \rightarrow {}_{82}^{206}Pb + x({}_{2}^{4}\alpha) + y({}_{-1}^{0}\beta^-)$.Balancing the mass number:$226 = 206 + 4x + 0$$4x = 226 - 206$$4x = 20$$x = 5$.Balancing the atomic number:$88 = 82 + 2x - y$$88 = 82 + 2(5) - y$$88 = 82 + 10 - y$$88 = 92 - y$$y = 92 - 88$$y = 4$.Therefore,$5$ $\alpha$ particles and $4$ $\beta^-$ particles are emitted.

The number of $\alpha$ and $\beta^-$ particles emitted during the radioactive decay chain starting from ${}_{88}^{226}Ra$ and ending at ${}_{82}^{206}Pb$ is:

Similar Questions

Alpha rays emitted from a radioactive substance are

$A$ radioactive nucleus with $Z$ protons and $N$ neutrons emits an $\alpha$-particle,$2\beta^-$-particles,and $2$ gamma rays. The number of protons and neutrons in the nucleus left after the decay,respectively,are:

The most penetrating radiation out of the following is

When a neutron decays,it produces . . . . . . .

Which of the following is emitted,when ${ }_{94}^{239} Pu$ decays into ${ }_{92}^{235} U$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module