Answer: During the given fusion process, 4 neutrons are emitted.
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:
[tex]^{249}_{98}\textrm{Cf}+_{7}^{15}\textrm{N}\rightarrow ^{260}_{105}\textrm{Db}+Y^1_0\textrm{n}[/tex]
To calculate Y:
Total mass on reactant side = total mass on product side
249 + 15 = 260 + Y(1)
[tex]\Rightarrow 264=260+(Y\times 1)\\\\Y=264-260=4[/tex]
Hence, during the given fusion process, 4 neutrons are emitted.