Final answer:
The energy required to jump from the 2nd orbit to the 3rd orbit in a hydrogen atom is the difference between the energy levels of these orbits, which is 1.89 eV.
Step-by-step explanation:
The energy required for an electron to jump from the 2nd orbit to the 3rd orbit in a hydrogen atom can be determined using the energy levels formula En = -13.6 eV/n², where n is the principal quantum number of the electron's orbit.
For the 2nd orbit (n=2), the energy is -3.4 eV, and for the 3rd orbit (n=3), the energy is -1.51 eV. The energy required for the jump from the 2nd to the 3rd orbit would be the difference between these two energy levels, which is 1.89 eV (3.4 eV - 1.51 eV). As energy is required to elevate an electron to a higher orbit, this process is endothermic.