You Do Need power plug adapter while traveling from Uzbekistan to Oman.

Here is Why You Need An Adapter

The outlet and plug type used in Oman is G and in Uzbekistan are C and F. This is how they look like.

Uzbekistan

In Uzbekistan, outlets of type C and F are in use.

Type C

Type F

Oman

In Oman, outlets of type G are in use.

Type G