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
  • A${n_0}{\alpha ^{ - 3/4}}$
  • B${n_0}{\alpha ^{ - 3}}$
  • C${n_0}{\alpha ^{ 1/4}}$
  • D$\sqrt {{n_0}} {\alpha ^{1/2}}$
JEE MAIN 2019, Diffcult
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