(D) Energy released in the fission of one nucleus $E = 200 \, MeV$. Converting this into Joules: $E = 200 \times 10^6 \times 1.6 \times 10^{-19} \, J

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(D) Energy released in the fission of one nucleus $E = 200 \, MeV$. Converting this into Joules: $E = 200 \times 10^6 \times 1.6 \times 10^{-19} \, J = 3.2 \times 10^{-11} \, J$. The power of the plant is $P = 16 \, kW = 16 \times 10^3 \, W$. The number of nuclei required per second $n$ is given by the ratio of power to the energy released per nucleus: $n = \frac{P}{E} = \frac{16 \times 10^3}{3.2 \times 10^{-11}} = 5 \times 10^{14} \, \text{nuclei/s}$.

Class 12 Physics Nuclei Nuclear Fission, Fusion and Nuclear Reactor

Medium

If the energy released in the fission of one nucleus is $200 \, MeV$, then the number of nuclei required per second in a power plant of $16 \, kW$ will be:

A
$0.5 \times 10^{14}$
B
$0.5 \times 10^{12}$
C
$5 \times 10^{12}$
D
$5 \times 10^{14}$

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Nuclear Fission, Fusion and Nuclear Reactor

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The binding energy per nucleon in deuterium and helium nuclei are $1.1 \, MeV$ and $7.0 \, MeV,$ respectively. When two deuterium nuclei fuse to form a helium nucleus,the energy released in the fusion is ........... $MeV$.

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In a nuclear reactor,the fuel is consumed at the rate of $1 \, mg/s$. The power generated in kilowatt is

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If the energy released in the fission of one nucleus is $200 \, MeV$, then the number of nuclei required per second in a power plant of $16 \, kW$ will be:

Similar Questions

The nucleus of $_6C^{12}$ absorbs a neutron and emits a $\beta$-particle. The resulting nucleus is ........

$A$ power of $100 \ W$ is produced by the fission of $1 \ kg$ of $^{235}U$. For approximately how long will the energy production continue?

Two deuterons undergo nuclear fusion to form a Helium nucleus. Energy released in this process is ............. $MeV$ (given binding energy per nucleon for deuteron $= 1.1 \, MeV$ and for helium $= 7.0 \, MeV$)

The binding energy per nucleon in deuterium and helium nuclei are $1.1 \, MeV$ and $7.0 \, MeV,$ respectively. When two deuterium nuclei fuse to form a helium nucleus,the energy released in the fusion is ........... $MeV$.

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