Answer: During the given fusion process, 4 neutrons are emitted.
Step-by-step explanation:
In a nuclear reaction, the total mass and total atomic number remains the same.
The fusion reaction between californium-249 and nitrogen-15 nuclei, the equation follows:
![^(249)_(98)\textrm{Cf}+_(7)^(15)\textrm{N}\rightarrow ^(260)_(105)\textrm{Db}+Y^1_0\textrm{n}](https://img.qammunity.org/2020/formulas/chemistry/college/3wc6zf21e64hpxjsd2jltdeslmqns9gkts.png)
To calculate Y:
Total mass on reactant side = total mass on product side
249 + 15 = 260 + Y(1)
![\Rightarrow 264=260+(Y* 1)\\\\Y=264-260=4](https://img.qammunity.org/2020/formulas/chemistry/college/s3pvae0xczea9k5e0slbpj3qbc9v9qplz3.png)
Hence, during the given fusion process, 4 neutrons are emitted.