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Q.

The ratio between the r.m.s. velocity of $H_{2}$ at 50K and that of $O_{2}$ at 800 K is

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Detailed Solution

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$\frac{C_{1}}{C_{2}} = \sqrt{\frac{M_{2} T_{1}}{M_{1} T_{2}}} \frac{C_{H_{2}}}{C_{O_{2}}} = \sqrt{\frac{32}{2} \times \frac{50}{800}} = 1$

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The ratio between the r.m.s. velocity of H2 at 50K and that of O2 at 800 K is