In an alpha - decay,the kinetic energy of the | vedclass

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

Question

(B) In an $\alpha -$ decay,the reaction is given by: $_Z^AX 	o _{Z-2}^{A-4}Y + _2^4He$.The kinetic energy of the $\alpha -$ particle $(K_{\alpha})$ i

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(B) In an $\alpha -$ decay,the reaction is given by: $_Z^AX 	o _{Z-2}^{A-4}Y + _2^4He$.The kinetic energy of the $\alpha -$ particle $(K_{\alpha})$ is related to the $Q$ value of the reaction by the conservation of momentum and energy:$K_{\alpha} = \left( \frac{M_Y}{M_Y + M_{\alpha}} ight) Q$Here,$M_Y$ is the mass of the daughter nucleus,which is approximately $(A-4)$ and $M_{\alpha}$ is the mass of the $\alpha -$ particle,which is $4$.Substituting these values:$K_{\alpha} = \left( \frac{A-4}{(A-4) + 4} ight) Q$$K_{\alpha} = \left( \frac{A-4}{A} ight) Q$Given $K_{\alpha} = 48 \ MeV$ and $Q = 50 \ MeV$:$48 = \left( \frac{A-4}{A} ight) 	imes 50$$48A = 50(A - 4)$$48A = 50A - 200$$2A = 200$$A = 100$Thus,the mass number of the mother nucleus is $100$.

In an $\alpha -$ decay,the kinetic energy of the $\alpha -$ particle is $48 \ MeV$ and the $Q$ value of the reaction is $50 \ MeV$. The mass number of the mother nucleus is (assume that the daughter nucleus is in the ground state).

Similar Questions

What is a nuclear reactor? Explain its principle,construction,and working.

The energy released by the fission of one uranium atom is $200 \text{ MeV}$. The number of fissions per second required to produce $6.4 \text{ W}$ power is $\qquad$ .

Choosing the correct option, complete the given nuclear fusion reaction that occurs in the sun.
${ }_1^3 H +{ }_1^3 H \rightarrow{ }_2^4 He +{ }_1^1 H +{ }_1^1 H +$ . . . . . . . (in $\text{ MeV}$)

The atomic power station at Tarapore has a generating capacity of $200\, MW$. The energy generated in a day by this station is:

What is nuclear fission and nuclear fusion?

Vedclass Test Series

Exam Paper Generator

Online Exam Module