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13.Nuclei
medium
$16\, gm$ 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
$\frac{1}{2}hour$
D
$\frac{1}{4}hour$
Solution
(c) $N = {N_0}{\left( {\frac{1}{2}} \right)^{t/{T_{1/2}}}}$
$⇒$ $1 = 16\,{\left( {\frac{1}{2}} \right)^{\frac{2}{{{T_{1/2}}}}}}$
$⇒$ ${T_{1/2}} = \frac{1}{2}hour$
Standard 12
Physics
