A radioactive element forms its own isotope a | vedclass

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

Question

(B) For a radioactive element to form its own isotope,the atomic number $(Z)$ must remain the same,while the mass number $(A)$ changes.An $\alpha$-par

Vedclass · Accepted Answer

$2 \beta$-particles and $1 \alpha$-particle

Vedclass · Answer

(B) For a radioactive element to form its own isotope,the atomic number $(Z)$ must remain the same,while the mass number $(A)$ changes.An $\alpha$-particle emission decreases the atomic number by $2$ and the mass number by $4$ $(_{2}He^{4})$.$A$ $\beta$-particle emission increases the atomic number by $1$ and keeps the mass number unchanged $(_{-1}\beta^{0})$.To keep the atomic number $Z$ constant after $3$ disintegrations,we need to balance the change in $Z$: $\Delta Z = (n_{\alpha} 	imes -2) + (n_{\beta} 	imes 1) = 0$.Given $n_{\alpha} + n_{\beta} = 3$,substituting $n_{\alpha} = 1$ gives $(-2) + (2) = 0$.Therefore,the emission of $1$ $\alpha$-particle and $2$ $\beta$-particles results in the same atomic number,forming an isotope.

$A$ radioactive element forms its own isotope after $3$ consecutive disintegrations. The particles emitted are

Similar Questions

$A$ nuclear reaction is given by ${}_{Z}X^{A} \to {}_{Z+1}Y^{A} + {}_{-1}e^{0} + \bar{\nu}$,which represents:

The rate of disintegration of a radioactive sample can be increased by:

Consider the following two statements:
$A.$ The energy spectrum of $\alpha-$ particles emitted in radioactive decay is discrete.
$B.$ The energy spectrum of $\beta-$ particles emitted in radioactive decay is continuous.

$A$ nucleus with mass number $220$ initially at rest emits an $\alpha$-particle. If the $Q$ value of the reaction is $5.5\, MeV$,calculate the kinetic energy of the $\alpha$-particle in $MeV$.

In $\beta^{-}$ decay, a neutron transforms into a proton within the nucleus according to the equation:
$\text{neutron} \rightarrow \text{proton} + \beta^{-} + x$
In this equation, the particle represented by '$x$' is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module