A wireless router "N" has one of the fastest speeds available. It is more costly than the basic wireless router speed of "G". To ensure getting the fastest speed, be sure both the wireless router and wireless card have the same speed. Most laptops with built in wireless cards only have a speed of "G". The network runs at the slowest speed that is being used. An upgraded card may be needed.
There is no such thing as N modem. N is a type of wireless network. When modems are usually associated with wired connection. Getting back to the answer, yes you can connect N type wireless router to virtually any modem (there are some exceptions).
it says it on the router
No.
A Wireless N router simply uses different types of Hardware, the exact piece is called a N Connector. This allows for the router to not only put out a wireless signal, but it also allows for the router to receive wireless signal. This works great for computers that cannot pick up wireless signals normally.
You can use router of G or N type and the same type wireless adapter. Of course you can use wireless N adapter with G-type router and reverse.
You can buy a N wireless router from sites such as Amazon.com or from your Internet Service Provider. Best Buy also carries wireless N routers in their stores.
Usually they are, you have configure the router for G wireless networks.
a lot faster
The same as with wireless G card and G router.
802.11
Yes.
A wireless N router is a router that supports the new 802.11n wireless standard. The N standard is superior to most other existing wireless standards because it uses multiple frequencies in order to create several data channels that allow faster download speeds. The standard also calls for the ability for a wireless N router to be able to combine strong and weak signals in order to create a consistent signal where there might not have been one previously. Even though a wireless N router supports all of this functionality, the receiver used on a laptop or device must also support the N standard in order to work properly.