The energy spectrum of $\beta$-particles [number $N(E)$ as a function of $\beta$-energy $E$] emitted from a radioactive source is

  • [AIEEE 2006]
  • A
    158-a669
  • B
    158-b669
  • C
    158-c669
  • D
    158-d669

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In a radioactive material the activity at time $t_1$ is $R_1$ and at a later time $t_2$ it is $R_2$. If the decay constant of the material is $\lambda$ then

  • [AIPMT 2006]

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Which of the following Statements is correct?

  • [AIEEE 2012]

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