One of the best descriptions I have seen.
Tanks in World War 2 Forum ? View topic - British and US tank sights vs the Germans sights
Telescopic sights is something most people don't know a huge amount about or there are lots of myths about. One of the big ones I hear and is that allied sights were inferior in magnification to German ones. Allied optics for the most part were not inferior in magnification to German ones. Originally the British 2 pounder gun and associated tanks had a 1.9x magnified sight, which was somewhat inferior to the 2.4x magnified German sights on tanks, which may be the cause of this myth. However American and British tank sights (6 pounder, 75mm, 17 pounder etc) had a 3x magnified sight which was slightly superior in zoom to the 2.4x magnified German sight on more of their common tanks such as the Mark III and Mark IV.
Only certain German tanks had the fancy adjustable optics that had both a 2.5x magnified and 5x magnified option for the sight, mainly on the late production Tigers (originally had 2.4x) and Panthers, and probably other late war ones. The StuG Assault gun series had a 5x magnified direct fire sight it retained but it was not adjustable. However several allied tanks had high powered optics as well. The Sherman Firefly was equipped with a 6x magnified sight, but whether this was adjustable or had to replace the standard 3x magnified optic I am unsure of. The Shermans with the 76mm gun also had a 5x magnified optic while standard shermans had a 3x magnified optic.
So why the notion that German optics were better than allied ones? It has more to do with other factors besides the simple magnification. The 2.4x magnified German sight on Mark IIIs, Mark IVs, and early tigers had a wide 25 degree field of view. In comparison allied 3x magnified optics had only a 13 degree field of view. The adjustable German 2.5x and 5x optics also had an wide FOV compared to allied optics. The 2.5x sight had a 28 degree field of view, while the 5x optics were 14 degree FOV. In short German 5x optics had slightly better FOV than allied 3x, and German 2.4x and 2.5x optics had roughly double the FOV. The high powered 6x sight for the Firefly had a 9 degree field of view which is rather limited. The only allied optic that compared to german sights in magnification and FOV was the 5x optic put in the Sherman 76 series, which had a 13 degree FOV, similar to the 5x mag 14 degree FOV of the German adjustable optics. The StuG was something of an exception, with only an 8 degree FOV for its 5x mag optic, which means it was inferior in that respect to allied optics of similar or even better magnification. What this meant in practice is that German gunners had an easier time acquiring targets their commander assigned for them, as the larger field of view allowed them to see more than allied ones did.
Another advantage of the German optics was their design which created a 'Mili-radian' sight. If you have ever seen one you will see a lot of triangles, but there is a purpose. The triangles utilized a mils that, combined with some math skill taught to panzer crews and a rough idea of tanks size (not hard when your enemies has focused production of a few types of tanks exclusively), allowed the gunner to calculate a rough range of the tank without even having to take a ranging shot. This allowed German gunners to have a high chance of getting first shot hits, and combined with the high velocity guns and powerful guns they had access to from the middle of the war onwards on their tanks, this often meant a kill on the enemy tank before they could react. They were adjustable with a dial around the edges of the optics that let the gunner know what range was dialed in.
Its rather complex but if you are interested you can find a guide here
http://www.75thguards.com/ww2online/dow ... _Guide.pdf
American optics were rather primitive in comparison, simply a line down the middle with crossing lines representing 400 yard intervals. They were totally nonadjustable and it must have been rather infuriating trying to land a second shot since the lay of the gun and sight would be thrown off with the recoil and with so many lines you could forget which of those many lines you had lined up on the enemy tank. I know from playing WWIIOL and using those optics that they are not particularly easy to use. British optics on their post 2 pounder armed tanks were similar to the American optics in that they had all the ranges listed in the sight, but it was adjustable so at least you didnt have the problem with the US optics. Whether the british put their own optics in the lend lease Shermans or not I do not know. Still allied tanks lacked this clever triangle system and would have had to rely more on ranging shots which put them at a disadvantage though modern american optics do have a triangle system though not the same design.
So in conclusion allied optics were not inferior to German optics because of magnification, for the most part they had similarly powered optics to the German ones, and standard allied tanks had a relatively adequate 3x zoom on them. However German optics were superior in field of view to similarly magnified allied optics, perhaps this is why the German optic industry had such a higher reputation than any other at the time. Also the German optic design allowed for panzer crews to estimate accurately the range of allied tanks without needed to fire a ranging shot, thus allowing for a higher percentage of first shot hits, and with the large amount of high powered guns they had as the war went on, often first shot kills.