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Q.

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

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a

2 : 1

b

1 : 1

c

1 : 2

d

4 : 1

answer is B.

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Detailed Solution

$activity : R = Nλ = \frac{dN}{dt} after 2 hours x becomes \frac{N}{4} and Y becomes \frac{N}{2} as λ is inversely proportional to T_{\frac{1}{2}} there activity are in the ratio, \frac{R_{X}}{R_{y} =} \frac{(N}{4}) (\frac{1}{1}) : (\frac{N}{2}) (\frac{1}{2}) = \frac{1}{1}$

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