JEE Challenger
More from Structure of Atom

Ratio of Mass Number to Atomic Number after Positron Emission

A positron is emitted from 1123Na{}_{11}^{23}\text{Na}. The ratio of the atomic mass and atomic number of the resulting nuclide is

Options

A

22/10

B

22/11

C

23/10

Correct
D

23/12

Step-by-Step Solution

A positron (β+\beta^+) emission corresponds to the conversion of a nuclear proton into a neutron:
p→n+e++νep \rightarrow n + e^+ + \nu_e

For 1123Na{}_{11}^{23}\text{Na}:
1123Na→1023Ne++10e+νe{}_{11}^{23}\text{Na} \rightarrow {}_{10}^{23}\text{Ne} + {}_{+1}^{0}e + \nu_e

  • Mass number (AA) remains unchanged: A=23A = 23.
  • Atomic number (ZZ) decreases by 1: Z=11−1=10Z = 11 - 1 = 10.

The ratio of the atomic mass (mass number) to the atomic number of the daughter nuclide is:
AZ=2310\frac{A}{Z} = \frac{23}{10}

Correct Answer: C