The $rms$ speed of $n$ molecules in a gas having speeds $\upsilon_1, \upsilon_2, \upsilon_3, \dots, \upsilon_n$ is equal to:

  • A
    $\frac{1}{n} [\upsilon_1 + \upsilon_2 + \upsilon_3 + \dots + \upsilon_n]^{1/2}$
  • B
    $[\frac{\upsilon_1^2 + \upsilon_2^2 + \upsilon_3^2 + \dots + \upsilon_n^2}{n}]^{1/2}$
  • C
    $\frac{1}{n} [\upsilon_1^2 + \upsilon_2^2 + \upsilon_3^2 + \dots + \upsilon_n^2]^{1/2}$
  • D
    $[\frac{(\upsilon_1 + \upsilon_2 + \upsilon_3 + \dots + \upsilon_n)^2}{n}]^{1/2}$

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