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Question

Question: If N<sub>0</sub> is the initial number of nuclei, number of nuclei remaining undecayed at the end of...

If N0 is the initial number of nuclei, number of nuclei remaining undecayed at the end of nth half life is

A

2–n N0

B

2n N0

C

n–2 N0

D

n2 N0

Answer

2–n N0

Explanation

Solution

After first half life period N = N02\frac{N_{0}}{2}

After second half life period N¢ = N02\frac{N_{0}}{2}× 12\frac{1}{2}

= N022\frac{N_{0}}{2^{2}}

After nth half life period = N" = N02n\frac{N_{0}}{2^{n}}= N0 2–n.