Molecular velocities of the two gases at the same temperature are $u_{1}$ and $u_{2}$ . Their masses are $m_{1}$ and $m_{2}$ respectively. Which of the following expressions is correct

$\frac{m_{1}}{u_{1}^{2}} = \frac{m_{2}}{u_{2}^{2}}$

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$m_{1} u_{1} = m_{2} u_{2}$

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$\frac{m_{1}}{u_{1}} = \frac{m_{2}}{u_{2}}$

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$m_{1} u_{1}^{2} = m_{2} u_{2}^{2}$

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Solution

The correct option is D
$m_{1} u_{1}^{2} = m_{2} u_{2}^{2}$

$\frac{U_{1}}{U_{2}} = \sqrt{\frac{m_{2}}{m_{1}} . \frac{T_{1}}{T_{2}}}$ $∵ T_{1} = T_{2}$

$\frac{U_{1}^{2}}{U_{2}^{2}} = \frac{m_{2}}{m_{1}}$ $∴ m_{1} U_{1}^{2} = m_{2} U_{2}^{2}$

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Molecular velocities of the two gases at the same temperature are u1 and u2. Their masses are m1 and m2 respectively. Which of the following expressions is correct

The correct option is D m1u21=m2u22 U1U2=√m2m1.T1T2 ∵T1=T2 U21U22=m2m1 ∴m1U21=m2U22

Molecular velocities of the two gases at the same temperature are $u_{1}$ and $u_{2}$ . Their masses are $m_{1}$ and $m_{2}$ respectively. Which of the following expressions is correct

The correct option is D
$m_{1} u_{1}^{2} = m_{2} u_{2}^{2}$

$\frac{U_{1}}{U_{2}} = \sqrt{\frac{m_{2}}{m_{1}} . \frac{T_{1}}{T_{2}}}$ $∵ T_{1} = T_{2}$

$\frac{U_{1}^{2}}{U_{2}^{2}} = \frac{m_{2}}{m_{1}}$ $∴ m_{1} U_{1}^{2} = m_{2} U_{2}^{2}$