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H is the independent state of a hydrogen atom that has 1 valence electron and is not in bonded state.whereas H2 is a molecular form of hydrogen and both atoms of hydrogen share their 1 valence electron with one another. H has to make a bond whereas H2 has made a covalent bond and has become a noble gas i.e. it will not make any bond with any other atom.H2 can be shown as

H . . H

H2

Note that "." are the atoms of hydrogen.

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