Which of the following statements is correct?

  • A
    The rate of radioactive decay cannot be controlled,but that of nuclear fission can be controlled.
  • B
    Nuclear forces are short-range,attractive,and charge-dependent.
  • C
    Nuclei of atoms having the same number of neutrons are known as isobars.
  • D
    Wavelength of matter waves is given by the de Broglie formula,but that of photons is not given by the same formula.

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$A$ 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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For the following two nuclear reactions,the atomic number and mass number of nuclei $X$ and $Y$ are respectively:
$(I) \, _{92}^{235}U + _{0}^{1}n \rightarrow X + _{35}^{85}Br + 3 _{0}^{1}n$
$(II) \, _{3}^{6}Li + _{1}^{2}H \rightarrow Y + _{2}^{4}He$

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 ........... $MeV$.

During the fission of $_{92}U^{235}$,$0.1\%$ of its mass is converted into energy. How much energy is produced from $1 \, kg$ of $_{92}U^{235}$?

If $1 \, g$ of hydrogen is converted into $0.993 \, g$ of helium in a thermonuclear reaction,the energy released in the reaction is ......... $J$.

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