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Q.

At a certain temperature, the r.m.s velocity for $O_{2}$ is 400 m/sec. At the same temperature, the r.m.s Velocity for $H_{2}$ molecules will be

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a

6400 m/s

b

25 m/s

c

100 m/s

d

1600 m/s

answer is C.

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Detailed Solution

$V_{rms} \propto \frac{1}{\sqrt{m}} \Rightarrow$ $\frac{V_{H}}{V_{O}} = \sqrt{\frac{M_{O}}{M_{H}}} \Rightarrow$

$\frac{V_{H}}{400} = \sqrt{\frac{32}{2}} = \sqrt{16} = 4$

$V_{H} = 1600 m/s$

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