16 gm sample of a radioactive element is taken from Bombay to Delhi in 2 hour an

Question

16 gm sample of a radioactive element is taken from Bombay to Delhi in 2 hour and it was found that 1 gm of the element remained (undisintegrated). Half life of the element is

Options:

A . 2 hour

B . 1 hour

C . 12 hour

D . 14 hour

Answer: Option C
:
C

N = N_{0} {(\frac{1}{2})}^{t / T_{1 / 2}} \Rightarrow 1 = 16 {(\frac{1}{2})}^{2 / T_{1 / 2}} \Rightarrow T_{\frac{1}{2}} = \frac{1}{2} h o u r

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