The correct option is C Reaction of HI with ether:
CH3−O−CH3+2HI→2CH3I+H2O
Finkelstein and Swarts reactions favour SN2 reaction when their substracte is a primary alkyl halide.
Finkelstein reaction:
CH3−X+NaIDry acetone−−−−−−−→SN2CH3I+NaX
Swarts reaction is for the preparation of alkyl fluorides. Reagents used in this reaction are AgF, SbF3, COF2, Hg2F2
CH3−Br+AgFΔ−−→SN2CH3F+AgBr
Reaction of HI with ether follows SN2 reaction where the I− will attack the carbon bearing oxonium ion from the back by a concerted reaction.
CH3−O−CH3+2HI→2CH3I+H2O
Reaction of diazonium salt with water follows SN1 reaction due to the leaving property of N2 and forms a carbocation intermediate.
(CH3)2CH−N+2X−+H2O→(CH3)2CH−OH+N2↑+HX
Thus, (a), (b) and (c) follows SN2 reaction mechanism.