Consider two different hydrogen atoms. The electron in each atom is in first excited state. According to Bohr's model, electrons will have:

same energies and the same orbital angular momentum

The correct answer is Option (2) → same energies and the same orbital angular momentum

According to Bohr's model of hydrogen atom -

(A) Energy of the electron in the first excited state (n = 2) depends upon only on the Quantum number n, and since both the the hydrogen atom have electron in the same excited state (n = 2), the energy of the electrons will be same.

(B) The orbital angular momentum of an electron -

$L=nh$

for $n=2$, the orbital angular momentum for both atoms will be, as $L=2h$.