${C^{14}}$ has half life $5700$ years. At the end of $11400$ years, the actual amount left is

  • A

    $0.5$ of original amount

  • B

    $0.25$ of original amount

  • C

    $0.125$ of original amount

  • D

    $0.0625$ of original amount

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$99 \%$ of a radioactive element will decay between

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column $I$ column $II$
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$(B.)$Fission in a nuclear reactor $(Q.)$ ${ }_{27}^{60} Co$ nucleus
$(C.)$ $\beta$-decay $(R.)$ Energy production in stars via hydrogen conversion to helium
$(D.)$ $\gamma$-ray emission $(S.)$ Heavy water
  $(T.)$ Neutrino emission

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The rate of disintegration was observed to be ${10^{17}}$ disintegrations per sec when its half life period is $1445$ years. The original number of particles are

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