SATHEE: Atoms And Nuclei Question 386

Atoms And Nuclei Question 386

Question: Two radioactive substances X and Y emit $α$ and $β$ particles respectively. Their disintegration constants are in the ratio 2 : 3. To have equal probabilities of getting emission of $α$ and $β$ particles, the ratio of number of atoms X to that of Fat any time instant is

Options:

A) 2 : 3

B) 3 : 2

C) e : 1

D) (e-1) : 1

Show Answer

Answer:

Correct Answer: B

Solution:

$N_{1} λ_{1} = N_{2} λ_{2} \frac{λ_{1}}{λ_{2}} = \frac{2}{3} \Rightarrow \frac{N_{2}}{N_{1}} = \frac{2}{3}$
$\Rightarrow$ ratio of no. of nuclei of X to that of $Y = 3 / 2$

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Atoms And Nuclei Question 386

Question: Two radioactive substances X and Y emit α and β particles respectively. Their disintegration constants are in the ratio 2 : 3. To have equal probabilities of getting emission of α and β particles, the ratio of number of atoms X to that of Fat any time instant is

Options:

Answer:

Solution:

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Question: Two radioactive substances X and Y emit $α$ and $β$ particles respectively. Their disintegration constants are in the ratio 2 : 3. To have equal probabilities of getting emission of $α$ and $β$ particles, the ratio of number of atoms X to that of Fat any time instant is