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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2010

  • question_answer
    When temperature of an ideal gas is increased from\[27{}^\circ C\]to\[227{}^\circ C,\]its rms speed changed from 400 m/s to\[{{v}_{s}}\]. Then\[{{v}_{s}}\]is

    A)  516 m/s          

    B)  450 m/s

    C)  310 m/s

    D)  746 m/s

    Correct Answer: B

    Solution :

     As\[v\propto \sqrt{T}\Rightarrow \frac{{{v}_{2}}}{{{v}_{1}}}=\sqrt{\frac{{{T}_{2}}}{{{T}_{1}}}}\] \[\Rightarrow \] \[\frac{{{v}_{s}}}{400}=\sqrt{\frac{(273+227)}{(273+27)}}=\sqrt{\frac{5}{3}}\] \[\Rightarrow \] \[{{v}_{s}}=400\sqrt{5/3}=516\,m/s\]


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