[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
In 1 molecule of [tex] \sf{(NH_4)_2SO_3} [/tex] has 3 molecules of Oxygen. but it is given that the sample contain 6000 Oxygen atoms. therefore, the number of molecules in the sample is ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{6000}{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: 2000 \: \:molecules[/tex]
Now, there are 8 atoms of Hydrogen in each molecule, so total number of H - atoms in 2000 molecules of the given compound would have ~
[tex]\qquad \sf \dashrightarrow \: 2000 \times 8[/tex]
[tex]\qquad \sf \dashrightarrow \: 16000 \: \: H-atoms[/tex]