The speeds of the seven molecules are 1, 3, 5 | vedclass

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(B) The given speeds are $v_1=1, v_2=3, v_3=5, v_4=7, v_5=2, v_6=4, v_7=6 	ext{ km/s}$.$1$. Average velocity $(v_{avg})$:$v_{avg} = \frac{1+3+5+7+2+4

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$\sqrt{5} : 2$

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(B) The given speeds are $v_1=1, v_2=3, v_3=5, v_4=7, v_5=2, v_6=4, v_7=6 	ext{ km/s}$.$1$. Average velocity $(v_{avg})$:$v_{avg} = \frac{1+3+5+7+2+4+6}{7} = \frac{28}{7} = 4 	ext{ km/s}$.$2$. Root mean square velocity $(v_{rms})$:$v_{rms} = \sqrt{\frac{v_1^2+v_2^2+v_3^2+v_4^2+v_5^2+v_6^2+v_7^2}{7}}$$v_{rms} = \sqrt{\frac{1^2+3^2+5^2+7^2+2^2+4^2+6^2}{7}}$$v_{rms} = \sqrt{\frac{1+9+25+49+4+16+36}{7}} = \sqrt{\frac{140}{7}} = \sqrt{20} = 2\sqrt{5} 	ext{ km/s}$.$3$. Ratio of $v_{rms}$ to $v_{avg}$:$\frac{v_{rms}}{v_{avg}} = \frac{2\sqrt{5}}{4} = \frac{\sqrt{5}}{2}$.

The speeds of the seven molecules are $1, 3, 5, 7, 2, 4$ and $6 \text{ km/s}$ respectively. The ratio of their r.m.s. velocity and average velocity will be

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