First slide

Radio activity

Question

Two radio active nuclei x and y initially contain an equal no.of atoms. Their half life are 1 hr, 2 hrs. The ratio of their rates of disintegration after 2 hrs from the start is

Moderate

A

4 : 1
B

1 : 1
C

1 : 2
D

2 : 1

Solution

$a c t i v i t y i s N λ = \frac{d N}{d t} a f t e r 2 h o u r s x b e c o m e s \frac{N}{4} a n d Y b e c o m e s \frac{N}{2} a s λ i s i n v e r s e l y p r o p o r t i o n a l t o T_{\frac{1}{2}} t h e r e a c t i v i t y a r e i n t h e r a t i o, \frac{(N}{4}) (\frac{1}{1}) a n d (\frac{N}{2}) (\frac{1}{2})$

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