Atomic bomb and hydrogen bomb are usually considered as weapons of mass destruction, but one of the differences between the two is their strength and the havoc they are capable of wrecking when they are used. Although, similar radioactive substances are used in making the two, the mechanism that brings about their formation differs.
Atomic bombs adopt the principle of atomic fission which means the atomic nucleus of the radioactive element in it will continue to split into smaller ones. In contrast, hydrogen bombs adopt the principle of atomic fusion which means more atomic nuclei of some radioactive elements combine to form bigger atomic nuclei.
By virtue of these principles, hydrogen bombs produce more energy compared to atomic bombs. In fact, it has been researched that the amount of energy produced by hydrogen bombs is three to four times greater than that of atomic bombs. However, it doesn't require any logical thinking to say that hydrogen bombs are powerful than atomic bombs.