Question

compare hydrogen with alkali metals on the basis of oxide formation

Answer 1

Lithium, sodium and potassium all react vigorously with water to form a metal hydroxide and hydrogen:
metal + water → metal hydroxide + hydrogen
The metal hydroxides are strong alkalis.
The group 1 elements need to be stored under oil to prevent them reacting with oxygen and water vapour in the air.
Reactions of group 1 elements with oxygen