(a) What do you mean by $Q$ value of a nuclear reaction?
(b) Write down the expression for $Q$ value in the class of $α$ decay.

Question

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Answer 1

a) The Q-value of the reaction is defined as the difference between the sum of the masses of the initial reactants and the sum of the masses of the final products, in energy units (usually in MeV). It is the measure of amount of energy released by that reaction.
b) The Q-value of the decay, $Q_{α}$ is the difference of the mass of the parent ( $m_{P}$ ) and the combined mass of the daughter (( $m_{P}$ ) and the $α$ -particle ( $m_{α}$ ), multiplied by $c^{2}$ :
$Q_{α} = (m_{P} - m_{D} - m_{α}) c^{2}$ .

Answer 2

a) The Q-value of the reaction is defined as the difference between the sum of the masses of the initial reactants and the sum of the masses of the final products, in energy units (usually in MeV). It is the measure of amount of energy released by that reaction.
b) The Q-value of the decay,

Q_{α}

is the difference of the mass of the parent (

m_{P}

) and the combined mass of the daughter ((

m_{P}

) and the

α

-particle (

m_{α}

), multiplied by

c^{2}

:

Q_{α} = (m_{P} - m_{D} - m_{α}) c^{2}

.

(a) What do you mean by $Q$ value of a nuclear reaction?
(b) Write down the expression for $Q$ value in the class of $α$ decay.

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(a) What do you mean by $Q$ value of a nuclear reaction?
(b) Write down the expression for $Q$ value in the class of $α$ decay.

Write symbolically the nuclear $β^{+}$ decay process of $_{6}^{11} C$ . Is the decayed product X an isotope or isobar of ( $_{6}^{11} C$ )? Given the mass values m ( $_{6}^{11} C$ ) = 11.011434 u and m (X) = 11.009305 u. Estimate the Q-value in this process.

A nucleus of mass $M$ is at rest. An alpha particle of mass $m$ is emitted from the nucleus with momentum $P . Q$ value of the nuclear reaction is :

In an $α$ -decay the kinetic energy of $α$ -particle is $48 M e V$ and $Q$ -value of the reaction is $50 M e V$ . The mass number of the molecular nucleus is $X$ . Find value of $X / 25$ .
(Assume that daughter nucleus is in ground state.)

A nuclear reaction is given as
$p +^{15} N \to_{Z}^{A} X + n$
Find the Q value of the reaction