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Question: If \(V_{H},V_{N}\) and \(V_{O}\) denote the root-mean square velocities of molecules of hydrogen, ni...

If VH,VNV_{H},V_{N} and VOV_{O} denote the root-mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then

A

VN>VO>VHV_{N} > V_{O} > V_{H}

B

VH>VN>VOV_{H} > V_{N} > V_{O}

C

VO=VN=VHV_{O} = V_{N} = V_{H}

D

VO>VH>VNV_{O} > V_{H} > V_{N}

Answer

VH>VN>VOV_{H} > V_{N} > V_{O}

Explanation

Solution

vrms1Mv_{rms} \propto \frac{1}{\sqrt{M}}ŽVH<VN<VOV_{H} < V_{N} < V_{O} (MH<MN<MO\because M_{H} < M_{N} < M_{O})