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

Answer

A, D

Explanation

`V_(rms) = sqrt(3RT)/(M) = v (say)`
and `lambda =(h)/(mv) = (h)/(m) sqrt(M)/(3RT)`
Substituting the value, we get
`lambda = (6.63xx10^(-34))/((2//6.02xx10^(23)xx10^(-3)) sqrt((2xx10^(-3)/(3(8.31)(20 +273))`
`= 1.04xx10^(-4) m = 1.04 Å.`