Answer
The formula is $NO$ which corresponds the compound with one $N$ atom and one $O$ atom.
Work Step by Step
Assume, we have 100 grams of the compound. Therefore, we have 46.7 grams of N and 53.3 grams of O.
$46.7\text{ grams N}*\frac{1\text{ mol N}}{14.0067\text{ grams N}}=3.33\text{ mol N}$
$53.3\text{ grams O}*\frac{1\text{ mol O}}{15.9994\text{ grams O}}=3.33\text{ mol O}$
$3.33\text{ mol N}:3.33\text{ mol O}=1\text{ mol N}:1\text{ mol O}$
Therefore the formula is $NO$ which corresponds the compound with one $N$ atom and one $O$ atom.
