The \( \beta \)-elimination of 2-bromopentane results in the formation of pent-2-ene as the major product, not pent-1-ene. This is because the most favorable elimination (E2) reaction occurs at the beta position with the most accessible hydrogen.
Thus, the correct answer is (C).
The correct order of the rate of reaction of the following reactants with nucleophile by \( \mathrm{S_N1} \) mechanism is:
(Given: Structures I and II are rigid) 
| LIST I | LIST II | ||
|---|---|---|---|
| A | Lyman | I | Near IR |
| B | Balmer | II | Far IR |
| C | Paschen | III | Visible |
| D | p-fund | IV | UV |