Both as two cores still this is better and the other one is not. This is one is new one hence it is more advanced and the other one is not. Confused guys? I’m talking about an illusive question, “what is the difference between Intel’s illustrious processors; ‘Dual Core’ and ‘Core 2 Duo’
Well, well, you geeks may know it but still I want to state that I too know! Ha-ha! Actually the difference lies in….nah since I learned it by reading a large no of blogs; I wish to give you the statements as it is, unadulterated!
Well to begin have these quotes states one after another under the question “What is the difference between Core 2 Duo and Dual Core?” at wikianswers (http://wiki.answers.com/Q/What_is_the_difference_between_dual_core_and_core-2_duo)

Dual Core is better because it has 2 processors. The more the better (Dell has a Quad Core, 4, processor computer and Mac has a Dual Quad Core processor, yes 8 processors). The main difference is that core duo is 32-bit processor, where as Core 2 Duo is 64-it processor, also for Core 2 Duo, the cache memory is 4MB compared to 2MB of Core Duo.
And just see how a longer explanation just contradicts the upper one; so much to be s simpler version!
The Dual Core processors use single cache shared between the 2 cores...plus, the size of this cache memory is usually less as compared to Core 2 Duo ones (typically in size of 128 KB to around 512 Kb or 1 MB).
On the other side Core 2 Duo processors also use 2 cores but they have dedicated cache memory assigned to each of the core. so in effect there are two cache memories (note - in case if you don't know what exactly cache memory is - its a static memory - Static RAM - which is costly - and charged per KB size - because they are embedded into your processors....and your processor stores instruction set into these cores and also info of frequently accessed memory locations so that it doesn't need to go to your main memory - RAM - on motherboard - every time and search indexes to get these locations. The result is - your access time is greatly reduced…ok…enough of info...lets get back to main topic)...so, the more cache your processor has got, the more costly will it be and more info can it store and faster will it become....coming back to Core 2 Duo processors....the cache size is typically 1 MB to up to 4 / 6 / 8 /12 Mb of size. so if a core 2 duo processor CONFIG states 4 Mb of cache, then effectively your 2 cores will use 2 Mb each...now you can make out the difference in speed between a dual core using 512 cache and a Core 2 Duo using 4 Mb of cache...and the same reason why core 2 duo processors are costly and more faster (about 40 %) than the dual core ones.
Finally...to summarize, dual core procs (less cache size and that too shared cache between two cores) are strip in version of Core 2 Duo procs (more cache size and independent cache between each of the two cores), which make Core 2 Duo procs costlier and faster than Dual Core procs...so the winner is Core 2 Duo (and its comes with a price.

How convincing these WIKIs are!! Consider these pundits also (http://www.tomshardware.com/forum/246627-28-core-dual-core).
There are a large number of "Dual Core" processors on the market.
The "Core 2 Duo" is one of these and is the fastest.
Both Intel and AMD have been making Dual Core processors for a few years now.
Now just as I thought I came across a sensible answer I got this, with a note attached to it (http://www.softwaretipsandtricks.com/windowsxp/articles/805/1/The-difference-between-Core-2-Duo-and-Core-Duo-(Dual-Core))!
6. Dual core is simply a generic term referring to any processor package with two physical CPUs in one.
The Pentium D is simply two Pentium 4 Prescott CPUs inefficiently paired together and ran as dual core.
The Core Duo is Intel's first generation dual core processor based upon the Pentium M (a Pentium III-4 hybrid) made mostly for laptops (though a few motherboard manufacturers have released desktop boards supporting the Core Duo CPU), and is much more efficiently than Pentium D.
The Core 2 Duo is Intel's second generation (hence, Core 2) processor made for desktops and laptops designed from the ground up to be fast while not consuming nearly as much power as previous CPUs.
The Pentium D, Core Duo, Core 2 Duo and Athlon X2 are all current CPUs that have dual cores in one package.
Note - Intel has dropped the Pentium name in favor of the Core architecture.
Now if you really want to laugh a bit (seriously! At http://tech.yahoo.com/blogs/null/8263) then probably the best way is to yodel!
7. Intel's really to blame here for a horrific naming convention. Any half-conscious marketing executive would commit suicide before putting both a numeral 2 and the word "duo" in the name of a product, particularly when there's also a product with "solo" in the name. But let's put that aside and look at the specs of each.
Core Duo is Intel's first dual-core CPU. It's a whole new architecture for Microsoft, using two cores on a single die, which, put simply, gives you two chips in one package. Running at lower speeds than the old Pentium line, the Core Duo conserves substantial power vs. ratcheting up clock speed while offering what was, at the time, record-breaking performance.
Now there's Core 2 Duo. In many ways Core 2 is the same as Core: The chips are built using the same production process and fit in the same sockets as Core Duo chips. Putting aside Core 2 Extreme (a fancy version of the Core 2 Duo), you won't see many spec changes: Both chips have the same front-side bus speed of 667 MHz, but Core 2 Duo is now available at somewhat faster clock speeds (as I write this, 2.67 GHz chips are available). The front-side bus communicates between the CPU and RAM (and other components), and it's a notorious performance bottleneck for computers. The Core 2 also has the same L2 cache that the Core has. However, there are architecture changes to the silicon that give the Core 2 more sophisticated processing abilities. Both chips exist in desktop and laptop versions.
Why does all of this matter? Performance, pure and simple. In my tests, Core 2 Duo computers outperform Core Duo computers on tasks across the board, from rendering graphics and video to spell-checking documents. The speed improvement varies widely, but on average it's about 30 percent. That's significant in an industry that thrives on tiny, incremental improvement. Better yet, there's not an appreciable difference in battery life on notebooks, as power consumption for both chips (at the same clock speed) is about the same.
Now let's consider pricing. Initially, Core 2 chips were more expensive than Core, but that has changed, as Core is practically gone from the desktop market now. Surprisingly, you can now get a 2.13 GHz Core 2 CPU for less than the price of a 1.66 GHz Core CPU.
Still, expect to see some systems still on the market that use the Core CPU, especially in laptops. Performance is still very good with Core, so don't feel like you're getting second-class goods if you buy a Core Duo notebook, but remember you are buying a chip that Intel is no longer actively selling, and prices for Core 2 systems aren't really any different than they were for Cores. If it was my money, I'd hold out for a Core 2 system unless you got a great deal on a Core...which will be all but vanished from the market in a matter of months.
This is the meanest answer of all and no wonder still it is on my top-ten list (http://www.experts-exchange.com/Hardware/Components/CPU_Processors/Q_23264008.html)!
These guys are techies and end my top-ten (http://forums.techarena.in/motherboard-processor-ram/1017421.htm)!
‘Core 2 Duo’ is a registered trademark [™] of the Intel Corporation.
This is the best believe me!
Now you say how much I am supposed to know from this world which says it is supposed to know everything. Be prepared for more top-tens. I do al this hard work of reading top ten blogs and quoting top ten quotes just to find out that I don’t have decent enough traffic!!! Phew (secret; I found all this from a single site and no that’s not GOOGLE; stay tunes or wait for the next BLOG to know which site!!?)
Surprised no image and no videos for this post well better not be, I’m still searching!!

So long FOLKS!!