SATHEE: Atoms And Nuclei Question 400

Atoms And Nuclei Question 400

Question: A radioactive nucleus (initial mass number A and atomic number Z emits 3 $α -$ particles and 2 positrons. The ratio of number of neutrons to that of protons in the final nucleus will be

Options:

A) $\frac{A - Z - 8}{Z - 4}$

B) $\frac{A - Z - 4}{Z - 8}$

C) $\frac{A - Z - 12}{Z - 4}$

D) $\frac{A - Z - 4}{Z - 2}$

Show Answer

Answer:

Correct Answer: B

Solution:

As a result of emission of 1 $α$ -particle, the mass number decreases by 4 units and atomic number decreases by 2 units. And by the emission of 1 positron the atomic number decreases by 1 unit but mass number remains constant.
$∴$ Mass number of final nucleus $= A - 12$ Atomic number of final nucleus $= Z - 8$
$∴$ Number of neutrons $= (A - 12) - (Z - 8)$ $= A - Z - 4$ Number of protons $= Z - 8$
$∴$ Required ratio $= \frac{A - Z - 4}{Z - 8}$

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Atoms And Nuclei Question 400

Question: A radioactive nucleus (initial mass number A and atomic number Z emits 3 α− particles and 2 positrons. The ratio of number of neutrons to that of protons in the final nucleus will be

Options:

Answer:

Solution:

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Question: A radioactive nucleus (initial mass number A and atomic number Z emits 3 $α -$ particles and 2 positrons. The ratio of number of neutrons to that of protons in the final nucleus will be