Question

Which of the following is an isobaric pair :

• A. \({}_6^{12}C\) & \({}_6^{13}C\)
• B. \({}_1^3 H\) & \({}_2^3 He\)
• C. \({}_7^{14} N\) & \({}_2^4 He\)
• D. \({}_8^{16} O\) & \({}_7^{14} N\)

Answer 1

The Correct Option is B

The question asks to identify an isobaric pair from the given options. Isobars are atoms that have the same mass number but different atomic numbers. This means that they have the same total number of nucleons (protons + neutrons) but differ in the number of protons.

Let's analyze each option to find the isobaric pair: 

1. \({}_6^{12}C\) and \({}_6^{13}C\): These have different mass numbers (12 and 13) and the same atomic number (6). They are not isobars; rather, they are isotopes of carbon.
2. \({}_1^3H\) and \({}_2^3He\): These have the same mass number (3) but different atomic numbers (1 and 2). This means the number of nucleons is the same, satisfying the condition for isobars.
3. \({}_7^{14}N\) and \({}_2^4He\): They have different mass numbers (14 and 4), so they cannot be isobars.
4. \({}_8^{16}O\) and \({}_7^{14}N\): These also have different mass numbers (16 and 14) and therefore are not isobars.

Therefore, the correct answer is \({}_1^3H\) and \({}_2^3He\), which are isobars as stated above.