Which of the following socket types supports an Intel iCore second generation processor?

Socket LGA 775 supported Intel Core 2 Duo and Core 2 Quad processors, which predate the Core i-series by at least one generation.

Socket LGA 1155 (H2) was introduced with Intel's second-generation Core processors based on the Sandy Bridge microarchitecture. This socket supported both the 2nd-gen Sandy Bridge and 3rd-gen Ivy Bridge Core i3/i5/i7 CPUs.

Socket LGA 1156 (H1) was used for first-generation Intel Core i-series processors (Nehalem/Lynnfield), not the second generation.

Socket LGA 1366 (B1) was used for high-end first-generation Intel Core i7 Extreme and Xeon processors (Bloomfield), not mainstream second-generation CPUs.