AMU Medical AMU Solved Paper-2001

  • question_answer
    The root mean square speed of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at 0°C is 3180 m/s. The pressure of hydrogen gas will be (density of hydrogen gas \[=\text{8}.\text{99}\times \text{1}{{0}^{-\text{2}}}\text{ kg}/{{\text{m}}^{\text{3}}}\]and 1 atm \[=\text{ 1}.0\text{1}\times \text{1}{{\text{0}}^{\text{5}}}\text{ N}/{{\text{m}}^{\text{2}}})\]

    A)  3.0 atm                               

    B)  2.0 atm

    C)  1.0 atm                               

    D)  1.5 atm

    Correct Answer: A

    Solution :

                     Pressure             \[p=\frac{1}{3}\rho {{c}^{2}}\] Given,   \[\rho =8.99\times {{10}^{-2}}kg/{{m}^{3}}\],                 c = 3180 m/s \[\therefore \]  \[p=\frac{1}{3}\times \frac{8.99\times {{10}^{-2}}\times {{(3180)}^{2}}}{1.01\times {{10}^{5}}}\] \[\Rightarrow \]               p = 3 atm


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