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Question: Density ratio of \(O_{2}\) and\(H_{2}\) is 16 : 1. The ratio of their r.m.s. velocities will be...

Density ratio of O2O_{2} andH2H_{2} is 16 : 1. The ratio of their r.m.s. velocities will be

A

4 : 1

B

1 : 16

C

1 : 4

D

16 : 1

Answer

1 : 4

Explanation

Solution

r1r2=v1v2=d2d1=116=1:4\frac{r_{1}}{r_{2}} = \frac{v_{1}}{v_{2}} = \sqrt{\frac{d_{2}}{d_{1}}} = \sqrt{\frac{1}{16}} = 1:4.