Find de-Broglie wavelength corresponding to the root-mean square velocity of hydrogen molecules at room temperature `(20^@C)`.

Answer

1.5Å

Explanation

The root-mean-square momentum of the molecule may be found from the condition `3/2kT=bar(p^(2))//2m`, from which Pr.m.s. = `sqrt(3mkT)` and the de Broglie wavelength `bar(lamda)=h/(Pr.m.s.)=h/sqrt(3mkT)`.