If N0 is the original mass of the substance of half­ life period t_{1/2} =5 years, then the amount of substance left after 15 years is

  • Option 1)

    N0/8

  • Option 2)

    N0/16

  • Option 3)

    N0/2

  • Option 4)

    N0/4

 

Answers (1)

As we learnt in

Number of nuclei after disintegration -

N=N_{0}e^{-\lambda t} or A=A_{0}e^{-\lambda t}

- wherein

Number of nucleor activity at a time is exponentional function

 

N=\frac{N_{0}}{2^{\frac{t}{t_{1}/2}}}=\frac{N_{0}}{2^{15/5}}=\frac{N_{0}}{8}

Correct option is 1.


Option 1)

N0/8

This is the correct option.

Option 2)

N0/16

This is an incorrect option.

Option 3)

N0/2

This is an incorrect option.

Option 4)

N0/4

This is an incorrect option.

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