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The molecular velocities of two gases at the same temperature are u1 and u2 and their masses are m1 and m2 respectively. Which of the following expressions are correct?
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12/09/2021 12:25 pm
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The molecular velocities of two gases at the same temperature are u_{1} and u_{2} and their masses are m_{1} and m_{2} respectively. Which of the following expressions are correct?
(a) \(\frac{m_1}{u^2_1}\) = \(\frac{m_2}{u_2^2}\)
(b) m_{1}u_{1} = m_{2}u_{2}
(c) \(\frac{m_1}{u_1}\) = \(\frac{m_2}{u_2}\)
(d) m_{1}u_{1}^{2} = m_{2}u_{2}^{2}
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12/09/2021 12:28 pm
Correct answer: (d) m_{1}u_{1}^{2} = m_{2}u_{2}^{2}
Explanation:
U_{1} ∝ \(\sqrt{\frac{1}{m_1}}\) and U_{2} ∝ \(\sqrt{\frac{1}{m_2}}\)
∴ \(\frac{U_1^2}{U_2^2}\) = \(\frac{m_2}{m_1}\)
∴ m_{1}u_{1}^{2} = m_{2}u_{2}^{2}
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