To calculate the bond length between two hydrogen atoms that are covalently bonded together, we can use the following equation:Bond length = h^2 / 4 * ^2 * * k ^1/2where h is Planck's constant 6.626 x 10^-34 Js , is the reduced mass of the two hydrogen atoms, and k is the force constant.First, we need to calculate the reduced mass of the two hydrogen atoms. The reduced mass can be calculated using the equation: = m1 * m2 / m1 + m2 where m1 and m2 are the masses of the two hydrogen atoms. Since both hydrogen atoms have the same mass approximately 1.67 x 10^-27 kg , the equation becomes: = m * m / m + m = m / 2Now, we can plug in the values for Planck's constant h and the force constant k into the bond length equation:Bond length = 6.626 x 10^-34 Js ^2 / 4 * ^2 * 1.67 x 10^-27 kg / 2 * 434 N/m Bond length = 4.39 x 10^-68 J^2s^2 / 4 * ^2 * 8.35 x 10^-28 kg * 434 N/m Bond length = 4.39 x 10^-68 J^2s^2 / 4 * ^2 * 3.61 x 10^-25 kg N/m Bond length = 4.39 x 10^-68 J^2s^2 / 1.42 x 10^-23 J^2s^2 Bond length 3.1 x 10^-10 mSo, the bond length between two hydrogen atoms that are covalently bonded together is approximately 3.1 x 10^-10 meters or 31 picometers.