25.0 mL of \(0.050\mathrm{M}\mathrm{Ba}{\left({\mathrm{NO}}_{3}\right)}_{2}\) is mixed with \(25.0\mathrm{mL}\) of \(0.0…

25.0 mL of \(0.050\mathrm{M}\mathrm{Ba}{\left({\mathrm{NO}}_{3}\right)}_{2}\) is mixed with \(25.0\mathrm{mL}\) of \(0.020\mathrm{M}\mathrm{NaF}.{\mathrm{K}}_{\mathrm{sp}}\) of \({\mathrm{BaF}}_{2}\) is \(0.5\times {10}^{-6}\) at \(298\mathrm{K}\). The ratio of \(\left[{\mathrm{Ba}}^{2+}\right]{\left[{\mathrm{F}}^{-}\right]}^{2}\) and \({\mathrm{K}}_{\mathrm{sp}}\) is...................... (Nearest integer)

[JEE Main 2023, 13 Apr (Shift 1)]