Physics-
General
Easy

Question

The ratio of root mean square velocity of O subscript 3 end subscript blank a n d blank O subscript 2 end subscript is

  1. 1 colon 1    
  2. 2 colon 3    
  3. 3 colon 2    
  4. square root of 2 blank colon square root of 3    

The correct answer is: square root of 2 blank colon square root of 3


    Root mean square velocity of gas molecules
    v subscript r m s end subscript equals square root of fraction numerator 3 R T over denominator M end fraction end root
    o r v subscript r m s end subscript proportional to fraction numerator 1 over denominator square root of M end fraction
    o r fraction numerator v subscript O end subscript subscript 3 end subscript over denominator v subscript O end subscript subscript 2 end subscript end fraction equals square root of fraction numerator M subscript O end subscript subscript 2 end subscript over denominator M subscript O end subscript subscript 3 end subscript end fraction end root
    Here, M subscript O end subscript subscript 2 end subscript equals 32 comma blank M subscript O end subscript subscript 3 end subscript equals 48
    therefore blank fraction numerator v subscript O end subscript subscript 3 end subscript over denominator v subscript O end subscript subscript 2 end subscript end fraction equals square root of fraction numerator 32 over denominator 48 end fraction end root equals fraction numerator square root of 2 over denominator square root of 3 end fraction

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