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Question: 16 gm sample of a radioactive element is taken from Bombay to Delhi in 2 hour and it was found that ...

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.

A

2 hour

B

1 hour

C

12hour\frac{1}{2}hour

D

14hour\frac{1}{4}hour

Answer

12hour\frac{1}{2}hour

Explanation

Solution

N=N0(12)t/T1/2N = N_{0}\left( \frac{1}{2} \right)^{t/T_{1/2}}1=16(12)2T1/21 = 16\left( \frac{1}{2} \right)^{\frac{2}{T_{1/2}}}T1/2=12hourT_{1/2} = \frac{1}{2}hour