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The second cohomology group (SCG) of the Jordan superalgebra ${{𝒟}}_t$, $t\ne 0$, over an algebraically closed field $𝔽$ of characteristic zero is calculated by using the coefficients which appear in the regular superbimodule $\mathrm{\text{Reg}}{{𝒟}}_t$. Contrary to the case of algebras, this group is nontrivial thanks to the non-splitting caused by the Wedderburn Decomposition Theorem [F. A. Gómez-González, Wedderburn principal theorem for Jordan superalgebras I, J. Algebra505 (2018) 1–32]. First, to calculate the SCG of a Jordan superalgebra we use split-null extension of the Jordan superalgebra and the Jordan superalgebra representation. We prove conditions that satisfy the bilinear forms $h$ that determine the SCG in Jordan superalgebras. We use these to calculate the SCG for the Jordan superalgebra ${{𝒟}}_t$, $t\ne 0$. Finally, we prove that ${{\mathscr{H}}}^2({{𝒟}}_t,\mathrm{\text{Reg}}{{𝒟}}_t)=0\dot{+}{𝔽}^2$, $t\ne 0$.