\( \mathrm{N} \) atoms of a radioactive element emit \( \mathrm{n} \) alpha particles per second...

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\( \mathrm{N} \) atoms of a radioactive element emit \( \mathrm{n} \) alpha particles per second at an instant. Then the half - life of the element is
(A) \( \frac{\mathrm{n}}{\mathrm{N}} \) sec.
(B) \( 1.44 \frac{\mathrm{n}}{\mathrm{N}} \) sec.
(C) \( 0.69 \frac{\mathrm{n}}{\mathrm{N}} \) sec.
(D) \( 0.69 \frac{\mathrm{N}}{\mathrm{n}} \) sec.
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