The respective speeds of the five molecules are 1,2,3,4 and 5 kms ⁻¹ . Then, the ratio of their rms velocity and the average velocity will be

Step-by-step solution

Given, speed of five molecules be v₁, v₂, v₃, v₄ and v₅=1,2,3,4 and 5 kms ⁻¹ Since, root mean square speed, v_ rms = v₁^2+v₂^2+v₃^2+v₄^2+v₅^2 5 and average speed, v_ av = v₁+v₂+v₃+v₄+v₅ 5 On dividing Eq. (i) by Eq. (ii), we get aligned v_ rms v_ av & = 1^2+2^2+3^2+4^2+5^2 1+2+3+4+5 5 5 & = 11 3 or 11 : 3 aligned