UK iPod Touch Wall Charger OK for US iPod?

*sigh*

I have a First Generation iPod 16GB Touch.  I ordered what should have been a USB to AC converter plug for my iPod to use in the US.  The company sent me this instead.  To use in the UK.

I have 2 questions:


1) can I use a UK iPod charger with my US iPod? 
2) can I just plug this charger into the UK to US plug I use for my UK mobile phone?

The cord says on it:

UK Travel Charger for iPod
DAPPIPODTC08-9125
Input: AC 100-240V 50/60Hz 0 .12A
Output: DC120V 500mA ±5%

I know I can return this cord and get the US one like I ordered, but if this cord will be functional, I'd rather just keep it so I don't have to worry about charging my iPod in the UK.  I'm assuming since it says it's 100-240 and outputs 120 it's completely safe to use, but I wanted someone more knowledgeable than me to give their opinion;)

Thanks!

I use this set up and it does indeed work.
so...

1. yes
2. yes

Thanks!

Just wanted to comment that I've successfully used the UK charger with my US iPod with no ill effects for anyone else wondering.