Question

In a uranium reactor whose thermal power is $P=100\text{MW}.$ If the average number of neutrons liberated in each nuclear splitting is $2.5$ each splitting is assumed to release an energy $E=200\text{MeV}.$ The number of neutrons generated per unit time is

• A. $4.5\times {10}^{18}$
• B. $8.9\times {10}^{23}$
• C. $8.4\times {10}^{19}$
• D. $7.8\times {10}^{18}$

Answer 1

The correct option is D $7.8\times {10}^{18}$

Given, $P=100\text{MW};E=200\text{MeV}$

No. of nuclear spliting per second is,

$N=\frac{\text{Power}}{\text{Energy of each splitting}}$

$=\frac{100\text{MW}}{200\text{MeV}}=\frac{100}{200\times 1.6\times {10}^{-19}}$

Hence, no. of neutrons liberated, is

$=\frac{100}{200}\times \frac{1}{1.6\times {10}^{-19}}\times 2.5=\frac{125}{16}\times {10}^{18}$

$=7.8\times {10}^{18}$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(D\right)$ is the correct answer.