$A$ radioactive element has a rate of disintegration $10,000$ disintegrations per minute at a particular instant. After four minutes it becomes $2500$ disintegrations per minute. The decay constant per minute is (in $log _e 2$)

  • A
    $0.2$
  • B
    $0.5$
  • C
    $0.6$
  • D
    $0.8$

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If $t_{1/2}$ is the half-life of a substance,then $t_{3/4}$ is the time in which the substance:

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