You Do Need power plug adapter while traveling from Austria to British Virgin Islands.

Here is Why You Need An Adapter

The outlet and plug type used in British Virgin Islands are A and B and in Austria are C and F. This is how they look like.

Austria

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

Type C

Type F

British Virgin Islands

In British Virgin Islands, outlets of type A and B are in use.

Type A

Type B