R. M. S velocity of oxygen molecules at N.T.P is $ 0.5 \mathrm{~km} \mathrm{~s}^{-1} $. The R.M.S velocity for the hydrogen molecule at N.T.P is

Question

R. M. S velocity of oxygen molecules at N.T.P is $ 0.5 \mathrm{~km} \mathrm{~s}^{-1} $. The R.M.S velocity for the hydrogen molecule at N.T.P is, $ 4 \mathrm{~km} \mathrm{~s}^{-1} $, $ 2 \mathrm{~km} \mathrm{~s}^{-1} $, $ 3 \mathrm{~km} \mathrm{~s}^{-1} $, $ 1 \mathrm{~km} \mathrm{~s}^{-1} $

MARKS App · Accepted Answer

The root mean square velocity is given by : V r m s = 3 R T M ∴ V r m s ∝ 1 M ∴ V o 2 V H 2 = 2 32 = 1 4 ∴ V H 2 = 4 V o 2 = 2 km s - 1

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