The number density of molecules of a gas depends on their distance r from the origin as, $n\left( r \right) = {n_0}{e^{ - \alpha {r^4}}}$.
Then the total number of molecules is proportional to :
${n_0}{\alpha ^{ - 3/4}}$
${n_0}{\alpha ^{ - 3}}$
${n_0}{\alpha ^{1/4}}$
$\sqrt {{n_0}} {\alpha ^{1/2}}$
Solution
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