The half-life of radium is $1580 \ yrs$. Its average life will be:

  • A
    $2.5 \times 10^{3} \ yrs$
  • B
    $1.832 \times 10^{3} \ yrs$
  • C
    $2.275 \times 10^{3} \ yrs$
  • D
    $8.825 \times 10^{2} \ yrs$

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The $T_{1/2}$ of $C^{14}$ isotope is $5770$ years. The time after which $72\%$ of the isotope is left is .......... years.

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If the disintegration constant is $6.93 \times 10^{-6} \ s^{-1}$,then the half-life of $_{6}C^{14}$ will be:

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