If $C_1, C_2, C_3, ......$ represent the speeds of $n_1, n_2, n_3, ......$ molecules,then the root mean square speed is

  • A
    $\left( \frac{n_1 C_1^2 + n_2 C_2^2 + n_3 C_3^2 + .....}{n_1 + n_2 + n_3 + .....} \right)^{1/2}$
  • B
    $\frac{(n_1 C_1^2 + n_2 C_2^2 + n_3 C_3^2 + .....)^{1/2}}{n_1 + n_2 + n_3 + .....}$
  • C
    $\frac{(n_1 C_1^2)^{1/2}}{n_1} + \frac{(n_2 C_2^2)^{1/2}}{n_2} + \frac{(n_3 C_3^2)^{1/2}}{n_3} + ......$
  • D
    $\left[ \frac{(n_1 C_1 + n_2 C_2 + n_3 C_3 + ....)^2}{(n_1 + n_2 + n_3 + ....)} \right]^{1/2}$

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