Answer: The element having partially filled f-orbital is Samarium (Sm)
Step-by-step explanation:
Maximum number of electrons that can be filled in f-orbital are 14. So, for the element having 14 electrons in the f-orbital will be considered as fully-filled and the element having 7 electrons in the f-orbital will be considered as half-filled.
It will be judged by electronic configuration of the elements.
For the given options:
The atomic number of samarium is 62 and number of electrons that are present are 62. The electronic configuration of samarium is:
![Sm:[Xe]4f^66s^2](https://img.qammunity.org/2017/formulas/chemistry/high-school/m2mx90mql70alr6rmwxo7e7wrd39avwpq7.png)
As, this element has electrons in f-orbital. Thus, this has partially filled f-orbital.
The atomic number of osmium is 76 and number of electrons that are present are 76. The electronic configuration of osmium is:
![Os:[Xe]5d^56s^2](https://img.qammunity.org/2017/formulas/chemistry/high-school/uikbffxz1rcu3nc1czf3xlr8ulv6hh6dqx.png)
As, this element does not have electrons in f-orbital. Thus, this does not has partially filled f-orbital.
The atomic number of barium is 56 and number of electrons that are present are 56. The electronic configuration of barium is:
![Ba:[Xe]6s^2](https://img.qammunity.org/2017/formulas/chemistry/high-school/gta6h25keyk3aois531mdj1vj45016iqfy.png)
As, this element does not have electrons in f-orbital. Thus, this does not has partially filled f-orbital.
The atomic number of bismuth is 83 and number of electrons that are present are 83. The electronic configuration of bismuth is:
![Bi:[Xe]6s^26p^3](https://img.qammunity.org/2017/formulas/chemistry/high-school/jp50jdbc3f9c3jkmjzcsxhsnlg0j0llp31.png)
As, this element does not have electrons in f-orbital. Thus, this does not has partially filled f-orbital.
Hence, the correct answer is samarium (Sm).