If $200 \, MeV$ energy is released in the fission of a single nucleus of ${}_{92}^{235}U$,the number of fissions required per second to produce a power of $1 \, kW$ is:

  • A
    $3.125 \times 10^{13}$
  • B
    $1.52 \times 10^{6}$
  • C
    $3.125 \times 10^{12}$
  • D
    $3.125 \times 10^{14}$

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Assertion: Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion.
Reason: For heavy nuclei,binding energy per nucleon increases with increasing $Z$,while for light nuclei,it decreases with increasing $Z$.

$A$ star has $10^{40}$ deuterons. It produces energy via the processes:
$_1H^2 + _1H^2 \to _1H^3 + p$
$_1H^2 + _1H^3 \to _2He^4 + n$
If the average power radiated by the star is $10^{16} \ W$, the deuteron supply of the star is exhausted in a time of the order of:
Given:
Mass of $_1H^2 = 2.014 \ amu$
Mass of $_2He^4 = 4.001 \ amu$
Mass of proton = $1.007 \ amu$
Mass of neutron = $1.008 \ amu$

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

In nuclear fission,the percentage of mass converted into energy is about: (in $\%$)

The energy released in the explosion of an atom bomb is mainly due to $\qquad$ .

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